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Finding the Fourth Proportional to 103,698.60, 155,630.94 and 47,565.15

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Solution

The fourth proportional to 103,698.60, 155,630.94 and 47,565.15 is: 71,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.60 : 155,630.94 = 47,565.15 : x
  2. Step 2: Convert to fraction form
    103,698.60/155,630.94 = 47,565.15/x
  3. Step 3: Cross multiply
    103,698.60x = 155,630.94 × 47,565.15
  4. Step 4: Simplify right side
    103,698.60x = 7,402,609,005.74
  5. Step 5: Solve for x
    x = 7,402,609,005.74/103,698.60
  6. Step 6: Final answer
    x = 71,385.81

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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.