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Finding the Fourth Proportional to 57,095.84, 85,428.72 and 39,599.52

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Solution

The fourth proportional to 57,095.84, 85,428.72 and 39,599.52 is: 59,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,095.84 : 85,428.72 = 39,599.52 : x
  2. Step 2: Convert to fraction form
    57,095.84/85,428.72 = 39,599.52/x
  3. Step 3: Cross multiply
    57,095.84x = 85,428.72 × 39,599.52
  4. Step 4: Simplify right side
    57,095.84x = 3,382,936,306.21
  5. Step 5: Solve for x
    x = 3,382,936,306.21/57,095.84
  6. Step 6: Final answer
    x = 59,250.14

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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.