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Finding the Fourth Proportional to 82,038.75, 113,213.52 and 44,313

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Solution

The fourth proportional to 82,038.75, 113,213.52 and 44,313 is: 61,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038.75 : 113,213.52 = 44,313 : x
  2. Step 2: Convert to fraction form
    82,038.75/113,213.52 = 44,313/x
  3. Step 3: Cross multiply
    82,038.75x = 113,213.52 × 44,313
  4. Step 4: Simplify right side
    82,038.75x = 5,016,830,711.76
  5. Step 5: Solve for x
    x = 5,016,830,711.76/82,038.75
  6. Step 6: Final answer
    x = 61,151.96

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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.