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Finding the Fourth Proportional to 82,341.76, 113,632.02 and 44,616

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Solution

The fourth proportional to 82,341.76, 113,632.02 and 44,616 is: 61,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,341.76 : 113,632.02 = 44,616 : x
  2. Step 2: Convert to fraction form
    82,341.76/113,632.02 = 44,616/x
  3. Step 3: Cross multiply
    82,341.76x = 113,632.02 × 44,616
  4. Step 4: Simplify right side
    82,341.76x = 5,069,806,204.32
  5. Step 5: Solve for x
    x = 5,069,806,204.32/82,341.76
  6. Step 6: Final answer
    x = 61,570.29

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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.