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Finding the Fourth Proportional to 37,425, 51,647.22 and 20,657.64

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Solution

The fourth proportional to 37,425, 51,647.22 and 20,657.64 is: 28,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,425 : 51,647.22 = 20,657.64 : x
  2. Step 2: Convert to fraction form
    37,425/51,647.22 = 20,657.64/x
  3. Step 3: Cross multiply
    37,425x = 51,647.22 × 20,657.64
  4. Step 4: Simplify right side
    37,425x = 1,066,909,677.76
  5. Step 5: Solve for x
    x = 1,066,909,677.76/37,425
  6. Step 6: Final answer
    x = 28,507.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.