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Finding the Fourth Proportional to 103,707, 155,560.50 and 29,835

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Solution

The fourth proportional to 103,707, 155,560.50 and 29,835 is: 44,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,707 : 155,560.50 = 29,835 : x
  2. Step 2: Convert to fraction form
    103,707/155,560.50 = 29,835/x
  3. Step 3: Cross multiply
    103,707x = 155,560.50 × 29,835
  4. Step 4: Simplify right side
    103,707x = 4,641,147,517.50
  5. Step 5: Solve for x
    x = 4,641,147,517.50/103,707
  6. Step 6: Final answer
    x = 44,752.50

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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.