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Finding the Fourth Proportional to 83,224.45, 114,849.74 and 45,498.70

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Solution

The fourth proportional to 83,224.45, 114,849.74 and 45,498.70 is: 62,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.45 : 114,849.74 = 45,498.70 : x
  2. Step 2: Convert to fraction form
    83,224.45/114,849.74 = 45,498.70/x
  3. Step 3: Cross multiply
    83,224.45x = 114,849.74 × 45,498.70
  4. Step 4: Simplify right side
    83,224.45x = 5,225,513,865.34
  5. Step 5: Solve for x
    x = 5,225,513,865.34/83,224.45
  6. Step 6: Final answer
    x = 62,788.21

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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.