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Finding the Fourth Proportional to 81,830.46, 112,436.66 and 65,034.30

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Solution

The fourth proportional to 81,830.46, 112,436.66 and 65,034.30 is: 89,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.46 : 112,436.66 = 65,034.30 : x
  2. Step 2: Convert to fraction form
    81,830.46/112,436.66 = 65,034.30/x
  3. Step 3: Cross multiply
    81,830.46x = 112,436.66 × 65,034.30
  4. Step 4: Simplify right side
    81,830.46x = 7,312,239,152.27
  5. Step 5: Solve for x
    x = 7,312,239,152.27/81,830.46
  6. Step 6: Final answer
    x = 89,358.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.