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Finding the Fourth Proportional to 77,854.90, 107,439.74 and 42,044.90

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Solution

The fourth proportional to 77,854.90, 107,439.74 and 42,044.90 is: 58,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.90 : 107,439.74 = 42,044.90 : x
  2. Step 2: Convert to fraction form
    77,854.90/107,439.74 = 42,044.90/x
  3. Step 3: Cross multiply
    77,854.90x = 107,439.74 × 42,044.90
  4. Step 4: Simplify right side
    77,854.90x = 4,517,293,124.33
  5. Step 5: Solve for x
    x = 4,517,293,124.33/77,854.90
  6. Step 6: Final answer
    x = 58,021.95

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1.5x scale

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.