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Finding the Fourth Proportional to 57,025, 85,537.80 and 15,472

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Solution

The fourth proportional to 57,025, 85,537.80 and 15,472 is: 23,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,025 : 85,537.80 = 15,472 : x
  2. Step 2: Convert to fraction form
    57,025/85,537.80 = 15,472/x
  3. Step 3: Cross multiply
    57,025x = 85,537.80 × 15,472
  4. Step 4: Simplify right side
    57,025x = 1,323,440,841.60
  5. Step 5: Solve for x
    x = 1,323,440,841.60/57,025
  6. Step 6: Final answer
    x = 23,208.08

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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.