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Finding the Fourth Proportional to 37,978.11, 56,995.65 and 14,309.01

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Solution

The fourth proportional to 37,978.11, 56,995.65 and 14,309.01 is: 21,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.11 : 56,995.65 = 14,309.01 : x
  2. Step 2: Convert to fraction form
    37,978.11/56,995.65 = 14,309.01/x
  3. Step 3: Cross multiply
    37,978.11x = 56,995.65 × 14,309.01
  4. Step 4: Simplify right side
    37,978.11x = 815,551,325.81
  5. Step 5: Solve for x
    x = 815,551,325.81/37,978.11
  6. Step 6: Final answer
    x = 21,474.25

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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.