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Finding the Fourth Proportional to 52,473, 78,722.82 and 15,537

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Solution

The fourth proportional to 52,473, 78,722.82 and 15,537 is: 23,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,473 : 78,722.82 = 15,537 : x
  2. Step 2: Convert to fraction form
    52,473/78,722.82 = 15,537/x
  3. Step 3: Cross multiply
    52,473x = 78,722.82 × 15,537
  4. Step 4: Simplify right side
    52,473x = 1,223,116,454.34
  5. Step 5: Solve for x
    x = 1,223,116,454.34/52,473
  6. Step 6: Final answer
    x = 23,309.44

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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.