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Finding the Fourth Proportional to 98,308.95, 147,463.82 and 29,921.16

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Solution

The fourth proportional to 98,308.95, 147,463.82 and 29,921.16 is: 44,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,308.95 : 147,463.82 = 29,921.16 : x
  2. Step 2: Convert to fraction form
    98,308.95/147,463.82 = 29,921.16/x
  3. Step 3: Cross multiply
    98,308.95x = 147,463.82 × 29,921.16
  4. Step 4: Simplify right side
    98,308.95x = 4,412,288,402.83
  5. Step 5: Solve for x
    x = 4,412,288,402.83/98,308.95
  6. Step 6: Final answer
    x = 44,881.86

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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.