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Finding the Fourth Proportional to 83,223.76, 114,849.18 and 45,498

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Solution

The fourth proportional to 83,223.76, 114,849.18 and 45,498 is: 62,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.76 : 114,849.18 = 45,498 : x
  2. Step 2: Convert to fraction form
    83,223.76/114,849.18 = 45,498/x
  3. Step 3: Cross multiply
    83,223.76x = 114,849.18 × 45,498
  4. Step 4: Simplify right side
    83,223.76x = 5,225,407,991.64
  5. Step 5: Solve for x
    x = 5,225,407,991.64/83,223.76
  6. Step 6: Final answer
    x = 62,787.45

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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.