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Finding the Fourth Proportional to 83,154.39, 114,750.49 and 47,349.51

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Solution

The fourth proportional to 83,154.39, 114,750.49 and 47,349.51 is: 65,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.39 : 114,750.49 = 47,349.51 : x
  2. Step 2: Convert to fraction form
    83,154.39/114,750.49 = 47,349.51/x
  3. Step 3: Cross multiply
    83,154.39x = 114,750.49 × 47,349.51
  4. Step 4: Simplify right side
    83,154.39x = 5,433,379,473.76
  5. Step 5: Solve for x
    x = 5,433,379,473.76/83,154.39
  6. Step 6: Final answer
    x = 65,340.86

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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.