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Finding the Fourth Proportional to 57,285.12, 85,929.12 and 15,732

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Solution

The fourth proportional to 57,285.12, 85,929.12 and 15,732 is: 23,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285.12 : 85,929.12 = 15,732 : x
  2. Step 2: Convert to fraction form
    57,285.12/85,929.12 = 15,732/x
  3. Step 3: Cross multiply
    57,285.12x = 85,929.12 × 15,732
  4. Step 4: Simplify right side
    57,285.12x = 1,351,836,915.84
  5. Step 5: Solve for x
    x = 1,351,836,915.84/57,285.12
  6. Step 6: Final answer
    x = 23,598.40

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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.