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Finding the Fourth Proportional to 52,443, 78,677.82 and 15,507

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Solution

The fourth proportional to 52,443, 78,677.82 and 15,507 is: 23,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,443 : 78,677.82 = 15,507 : x
  2. Step 2: Convert to fraction form
    52,443/78,677.82 = 15,507/x
  3. Step 3: Cross multiply
    52,443x = 78,677.82 × 15,507
  4. Step 4: Simplify right side
    52,443x = 1,220,056,954.74
  5. Step 5: Solve for x
    x = 1,220,056,954.74/52,443
  6. Step 6: Final answer
    x = 23,264.44

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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.