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Finding the Fourth Proportional to 65,941.47, 90,994.92 and 42,065.58

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Solution

The fourth proportional to 65,941.47, 90,994.92 and 42,065.58 is: 58,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,941.47 : 90,994.92 = 42,065.58 : x
  2. Step 2: Convert to fraction form
    65,941.47/90,994.92 = 42,065.58/x
  3. Step 3: Cross multiply
    65,941.47x = 90,994.92 × 42,065.58
  4. Step 4: Simplify right side
    65,941.47x = 3,827,753,876.80
  5. Step 5: Solve for x
    x = 3,827,753,876.80/65,941.47
  6. Step 6: Final answer
    x = 58,047.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.