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Finding the Fourth Proportional to 57,476.16, 86,127.84 and 32,489.28

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Solution

The fourth proportional to 57,476.16, 86,127.84 and 32,489.28 is: 48,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,476.16 : 86,127.84 = 32,489.28 : x
  2. Step 2: Convert to fraction form
    57,476.16/86,127.84 = 32,489.28/x
  3. Step 3: Cross multiply
    57,476.16x = 86,127.84 × 32,489.28
  4. Step 4: Simplify right side
    57,476.16x = 2,798,231,509.56
  5. Step 5: Solve for x
    x = 2,798,231,509.56/57,476.16
  6. Step 6: Final answer
    x = 48,685.08

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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.