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Finding the Fourth Proportional to 97,410.52, 146,129.52 and 38,214.08

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Solution

The fourth proportional to 97,410.52, 146,129.52 and 38,214.08 is: 57,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,410.52 : 146,129.52 = 38,214.08 : x
  2. Step 2: Convert to fraction form
    97,410.52/146,129.52 = 38,214.08/x
  3. Step 3: Cross multiply
    97,410.52x = 146,129.52 × 38,214.08
  4. Step 4: Simplify right side
    97,410.52x = 5,584,205,167.64
  5. Step 5: Solve for x
    x = 5,584,205,167.64/97,410.52
  6. Step 6: Final answer
    x = 57,326.51

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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.