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Finding the Fourth Proportional to 83,616.74, 115,390.14 and 47,317.76

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Solution

The fourth proportional to 83,616.74, 115,390.14 and 47,317.76 is: 65,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,616.74 : 115,390.14 = 47,317.76 : x
  2. Step 2: Convert to fraction form
    83,616.74/115,390.14 = 47,317.76/x
  3. Step 3: Cross multiply
    83,616.74x = 115,390.14 × 47,317.76
  4. Step 4: Simplify right side
    83,616.74x = 5,460,002,950.89
  5. Step 5: Solve for x
    x = 5,460,002,950.89/83,616.74
  6. Step 6: Final answer
    x = 65,297.96

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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.