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Finding the Fourth Proportional to 52,577.80, 78,866.70 and 24,929.80

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Solution

The fourth proportional to 52,577.80, 78,866.70 and 24,929.80 is: 37,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,577.80 : 78,866.70 = 24,929.80 : x
  2. Step 2: Convert to fraction form
    52,577.80/78,866.70 = 24,929.80/x
  3. Step 3: Cross multiply
    52,577.80x = 78,866.70 × 24,929.80
  4. Step 4: Simplify right side
    52,577.80x = 1,966,131,057.66
  5. Step 5: Solve for x
    x = 1,966,131,057.66/52,577.80
  6. Step 6: Final answer
    x = 37,394.70

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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.