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Finding the Fourth Proportional to 29,398.20, 44,103.98 and 9,678.76

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Solution

The fourth proportional to 29,398.20, 44,103.98 and 9,678.76 is: 14,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.20 : 44,103.98 = 9,678.76 : x
  2. Step 2: Convert to fraction form
    29,398.20/44,103.98 = 9,678.76/x
  3. Step 3: Cross multiply
    29,398.20x = 44,103.98 × 9,678.76
  4. Step 4: Simplify right side
    29,398.20x = 426,871,837.46
  5. Step 5: Solve for x
    x = 426,871,837.46/29,398.20
  6. Step 6: Final answer
    x = 14,520.34

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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.