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Finding the Fourth Proportional to 65,434.92, 98,100.38 and 28,473

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Solution

The fourth proportional to 65,434.92, 98,100.38 and 28,473 is: 42,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,434.92 : 98,100.38 = 28,473 : x
  2. Step 2: Convert to fraction form
    65,434.92/98,100.38 = 28,473/x
  3. Step 3: Cross multiply
    65,434.92x = 98,100.38 × 28,473
  4. Step 4: Simplify right side
    65,434.92x = 2,793,212,119.74
  5. Step 5: Solve for x
    x = 2,793,212,119.74/65,434.92
  6. Step 6: Final answer
    x = 42,686.87

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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.