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Finding the Fourth Proportional to 97,098.62, 145,612.69 and 33,901.00

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Solution

The fourth proportional to 97,098.62, 145,612.69 and 33,901.00 is: 50,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.62 : 145,612.69 = 33,901.00 : x
  2. Step 2: Convert to fraction form
    97,098.62/145,612.69 = 33,901.00/x
  3. Step 3: Cross multiply
    97,098.62x = 145,612.69 × 33,901.00
  4. Step 4: Simplify right side
    97,098.62x = 4,936,415,354.91
  5. Step 5: Solve for x
    x = 4,936,415,354.91/97,098.62
  6. Step 6: Final answer
    x = 50,839.19

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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.