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Finding the Fourth Proportional to 48,534, 72,801.36 and 15,702

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Solution

The fourth proportional to 48,534, 72,801.36 and 15,702 is: 23,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534 : 72,801.36 = 15,702 : x
  2. Step 2: Convert to fraction form
    48,534/72,801.36 = 15,702/x
  3. Step 3: Cross multiply
    48,534x = 72,801.36 × 15,702
  4. Step 4: Simplify right side
    48,534x = 1,143,126,954.72
  5. Step 5: Solve for x
    x = 1,143,126,954.72/48,534
  6. Step 6: Final answer
    x = 23,553.12

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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.