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Finding the Fourth Proportional to 82,143.72, 113,417.82 and 53,931.42

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Solution

The fourth proportional to 82,143.72, 113,417.82 and 53,931.42 is: 74,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.72 : 113,417.82 = 53,931.42 : x
  2. Step 2: Convert to fraction form
    82,143.72/113,417.82 = 53,931.42/x
  3. Step 3: Cross multiply
    82,143.72x = 113,417.82 × 53,931.42
  4. Step 4: Simplify right side
    82,143.72x = 6,116,784,085.90
  5. Step 5: Solve for x
    x = 6,116,784,085.90/82,143.72
  6. Step 6: Final answer
    x = 74,464.42

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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.