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Finding the Fourth Proportional to 83,706.47, 115,515.78 and 45,466.77

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Solution

The fourth proportional to 83,706.47, 115,515.78 and 45,466.77 is: 62,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.47 : 115,515.78 = 45,466.77 : x
  2. Step 2: Convert to fraction form
    83,706.47/115,515.78 = 45,466.77/x
  3. Step 3: Cross multiply
    83,706.47x = 115,515.78 × 45,466.77
  4. Step 4: Simplify right side
    83,706.47x = 5,252,129,400.63
  5. Step 5: Solve for x
    x = 5,252,129,400.63/83,706.47
  6. Step 6: Final answer
    x = 62,744.61

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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.