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Finding the Fourth Proportional to 83,225.40, 114,851.51 and 45,499.65

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Solution

The fourth proportional to 83,225.40, 114,851.51 and 45,499.65 is: 62,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,225.40 : 114,851.51 = 45,499.65 : x
  2. Step 2: Convert to fraction form
    83,225.40/114,851.51 = 45,499.65/x
  3. Step 3: Cross multiply
    83,225.40x = 114,851.51 × 45,499.65
  4. Step 4: Simplify right side
    83,225.40x = 5,225,703,506.97
  5. Step 5: Solve for x
    x = 5,225,703,506.97/83,225.40
  6. Step 6: Final answer
    x = 62,789.77

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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.