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Finding the Fourth Proportional to 82,953.78, 124,384.51 and 49,233.50

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Solution

The fourth proportional to 82,953.78, 124,384.51 and 49,233.50 is: 73,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.78 : 124,384.51 = 49,233.50 : x
  2. Step 2: Convert to fraction form
    82,953.78/124,384.51 = 49,233.50/x
  3. Step 3: Cross multiply
    82,953.78x = 124,384.51 × 49,233.50
  4. Step 4: Simplify right side
    82,953.78x = 6,123,884,773.09
  5. Step 5: Solve for x
    x = 6,123,884,773.09/82,953.78
  6. Step 6: Final answer
    x = 73,822.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.