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Finding the Fourth Proportional to 83,373.84, 115,055.22 and 45,132.61

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Solution

The fourth proportional to 83,373.84, 115,055.22 and 45,132.61 is: 62,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,373.84 : 115,055.22 = 45,132.61 : x
  2. Step 2: Convert to fraction form
    83,373.84/115,055.22 = 45,132.61/x
  3. Step 3: Cross multiply
    83,373.84x = 115,055.22 × 45,132.61
  4. Step 4: Simplify right side
    83,373.84x = 5,192,742,216.19
  5. Step 5: Solve for x
    x = 5,192,742,216.19/83,373.84
  6. Step 6: Final answer
    x = 62,282.63

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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.