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Finding the Fourth Proportional to 104,675.76, 144,451.53 and 56,929.50

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Solution

The fourth proportional to 104,675.76, 144,451.53 and 56,929.50 is: 78,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,675.76 : 144,451.53 = 56,929.50 : x
  2. Step 2: Convert to fraction form
    104,675.76/144,451.53 = 56,929.50/x
  3. Step 3: Cross multiply
    104,675.76x = 144,451.53 × 56,929.50
  4. Step 4: Simplify right side
    104,675.76x = 8,223,553,377.14
  5. Step 5: Solve for x
    x = 8,223,553,377.14/104,675.76
  6. Step 6: Final answer
    x = 78,562.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.