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Finding the Fourth Proportional to 83,877.30, 115,748.55 and 45,635.22

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Solution

The fourth proportional to 83,877.30, 115,748.55 and 45,635.22 is: 62,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.30 : 115,748.55 = 45,635.22 : x
  2. Step 2: Convert to fraction form
    83,877.30/115,748.55 = 45,635.22/x
  3. Step 3: Cross multiply
    83,877.30x = 115,748.55 × 45,635.22
  4. Step 4: Simplify right side
    83,877.30x = 5,282,210,543.93
  5. Step 5: Solve for x
    x = 5,282,210,543.93/83,877.30
  6. Step 6: Final answer
    x = 62,975.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.