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Finding the Fourth Proportional to 37,978,507.81, 56,967,762.39 and 9,224,449.62

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Solution

The fourth proportional to 37,978,507.81, 56,967,762.39 and 9,224,449.62 is: 13,836,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978,507.81 : 56,967,762.39 = 9,224,449.62 : x
  2. Step 2: Convert to fraction form
    37,978,507.81/56,967,762.39 = 9,224,449.62/x
  3. Step 3: Cross multiply
    37,978,507.81x = 56,967,762.39 × 9,224,449.62
  4. Step 4: Simplify right side
    37,978,507.81x = 525,496,254,130,685.75
  5. Step 5: Solve for x
    x = 525,496,254,130,685.75/37,978,507.81
  6. Step 6: Final answer
    x = 13,836,674.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.