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Finding the Fourth Proportional to 102,002.08, 153,003.12 and 36,292

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Solution

The fourth proportional to 102,002.08, 153,003.12 and 36,292 is: 54,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.08 : 153,003.12 = 36,292 : x
  2. Step 2: Convert to fraction form
    102,002.08/153,003.12 = 36,292/x
  3. Step 3: Cross multiply
    102,002.08x = 153,003.12 × 36,292
  4. Step 4: Simplify right side
    102,002.08x = 5,552,789,231.04
  5. Step 5: Solve for x
    x = 5,552,789,231.04/102,002.08
  6. Step 6: Final answer
    x = 54,438

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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.