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Finding the Fourth Proportional to 102,603.60, 153,890.04 and 32,473.92

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Solution

The fourth proportional to 102,603.60, 153,890.04 and 32,473.92 is: 48,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,603.60 : 153,890.04 = 32,473.92 : x
  2. Step 2: Convert to fraction form
    102,603.60/153,890.04 = 32,473.92/x
  3. Step 3: Cross multiply
    102,603.60x = 153,890.04 × 32,473.92
  4. Step 4: Simplify right side
    102,603.60x = 4,997,412,847.76
  5. Step 5: Solve for x
    x = 4,997,412,847.76/102,603.60
  6. Step 6: Final answer
    x = 48,706.02

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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.