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Finding the Fourth Proportional to 83,652.90, 115,441.14 and 45,929.58

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Solution

The fourth proportional to 83,652.90, 115,441.14 and 45,929.58 is: 63,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,652.90 : 115,441.14 = 45,929.58 : x
  2. Step 2: Convert to fraction form
    83,652.90/115,441.14 = 45,929.58/x
  3. Step 3: Cross multiply
    83,652.90x = 115,441.14 × 45,929.58
  4. Step 4: Simplify right side
    83,652.90x = 5,302,163,074.92
  5. Step 5: Solve for x
    x = 5,302,163,074.92/83,652.90
  6. Step 6: Final answer
    x = 63,382.90

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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.