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Finding the Fourth Proportional to 57,645, 86,501.52 and 24,363

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Solution

The fourth proportional to 57,645, 86,501.52 and 24,363 is: 36,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645 : 86,501.52 = 24,363 : x
  2. Step 2: Convert to fraction form
    57,645/86,501.52 = 24,363/x
  3. Step 3: Cross multiply
    57,645x = 86,501.52 × 24,363
  4. Step 4: Simplify right side
    57,645x = 2,107,436,531.76
  5. Step 5: Solve for x
    x = 2,107,436,531.76/57,645
  6. Step 6: Final answer
    x = 36,558.88

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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.