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Finding the Fourth Proportional to 51,533.66, 71,111.67 and 29,177.66

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Solution

The fourth proportional to 51,533.66, 71,111.67 and 29,177.66 is: 40,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,533.66 : 71,111.67 = 29,177.66 : x
  2. Step 2: Convert to fraction form
    51,533.66/71,111.67 = 29,177.66/x
  3. Step 3: Cross multiply
    51,533.66x = 71,111.67 × 29,177.66
  4. Step 4: Simplify right side
    51,533.66x = 2,074,872,129.29
  5. Step 5: Solve for x
    x = 2,074,872,129.29/51,533.66
  6. Step 6: Final answer
    x = 40,262.46

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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.