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Finding the Fourth Proportional to 77,545.77, 107,024.94 and 47,348.70

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Solution

The fourth proportional to 77,545.77, 107,024.94 and 47,348.70 is: 65,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,545.77 : 107,024.94 = 47,348.70 : x
  2. Step 2: Convert to fraction form
    77,545.77/107,024.94 = 47,348.70/x
  3. Step 3: Cross multiply
    77,545.77x = 107,024.94 × 47,348.70
  4. Step 4: Simplify right side
    77,545.77x = 5,067,491,776.58
  5. Step 5: Solve for x
    x = 5,067,491,776.58/77,545.77
  6. Step 6: Final answer
    x = 65,348.40

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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.