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Finding the Fourth Proportional to 83,984.55, 115,895.21 and 45,744.24

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Solution

The fourth proportional to 83,984.55, 115,895.21 and 45,744.24 is: 63,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,984.55 : 115,895.21 = 45,744.24 : x
  2. Step 2: Convert to fraction form
    83,984.55/115,895.21 = 45,744.24/x
  3. Step 3: Cross multiply
    83,984.55x = 115,895.21 × 45,744.24
  4. Step 4: Simplify right side
    83,984.55x = 5,301,538,506.98
  5. Step 5: Solve for x
    x = 5,301,538,506.98/83,984.55
  6. Step 6: Final answer
    x = 63,125.17

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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.