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Finding the Fourth Proportional to 72,746.91, 109,147.02 and 30,637.59

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Solution

The fourth proportional to 72,746.91, 109,147.02 and 30,637.59 is: 45,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,746.91 : 109,147.02 = 30,637.59 : x
  2. Step 2: Convert to fraction form
    72,746.91/109,147.02 = 30,637.59/x
  3. Step 3: Cross multiply
    72,746.91x = 109,147.02 × 30,637.59
  4. Step 4: Simplify right side
    72,746.91x = 3,344,001,648.48
  5. Step 5: Solve for x
    x = 3,344,001,648.48/72,746.91
  6. Step 6: Final answer
    x = 45,967.61

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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.