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Finding the Fourth Proportional to 82,407.36, 113,722.20 and 44,681.52

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Solution

The fourth proportional to 82,407.36, 113,722.20 and 44,681.52 is: 61,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.36 : 113,722.20 = 44,681.52 : x
  2. Step 2: Convert to fraction form
    82,407.36/113,722.20 = 44,681.52/x
  3. Step 3: Cross multiply
    82,407.36x = 113,722.20 × 44,681.52
  4. Step 4: Simplify right side
    82,407.36x = 5,081,280,753.74
  5. Step 5: Solve for x
    x = 5,081,280,753.74/82,407.36
  6. Step 6: Final answer
    x = 61,660.52

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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.