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Finding the Fourth Proportional to 57,316.16, 85,972.08 and 15,762.08

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Solution

The fourth proportional to 57,316.16, 85,972.08 and 15,762.08 is: 23,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316.16 : 85,972.08 = 15,762.08 : x
  2. Step 2: Convert to fraction form
    57,316.16/85,972.08 = 15,762.08/x
  3. Step 3: Cross multiply
    57,316.16x = 85,972.08 × 15,762.08
  4. Step 4: Simplify right side
    57,316.16x = 1,355,098,802.73
  5. Step 5: Solve for x
    x = 1,355,098,802.73/57,316.16
  6. Step 6: Final answer
    x = 23,642.53

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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.