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Finding the Fourth Proportional to 65,358.40, 98,077.92 and 30,291.52

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Solution

The fourth proportional to 65,358.40, 98,077.92 and 30,291.52 is: 45,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358.40 : 98,077.92 = 30,291.52 : x
  2. Step 2: Convert to fraction form
    65,358.40/98,077.92 = 30,291.52/x
  3. Step 3: Cross multiply
    65,358.40x = 98,077.92 × 30,291.52
  4. Step 4: Simplify right side
    65,358.40x = 2,970,929,275.24
  5. Step 5: Solve for x
    x = 2,970,929,275.24/65,358.40
  6. Step 6: Final answer
    x = 45,455.97

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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.