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Finding the Fourth Proportional to 52,047.48, 71,806.86 and 29,678.52

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Solution

The fourth proportional to 52,047.48, 71,806.86 and 29,678.52 is: 40,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.48 : 71,806.86 = 29,678.52 : x
  2. Step 2: Convert to fraction form
    52,047.48/71,806.86 = 29,678.52/x
  3. Step 3: Cross multiply
    52,047.48x = 71,806.86 × 29,678.52
  4. Step 4: Simplify right side
    52,047.48x = 2,131,121,330.65
  5. Step 5: Solve for x
    x = 2,131,121,330.65/52,047.48
  6. Step 6: Final answer
    x = 40,945.72

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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.