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Finding the Fourth Proportional to 83,538.90, 115,283.64 and 45,813.96

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Solution

The fourth proportional to 83,538.90, 115,283.64 and 45,813.96 is: 63,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538.90 : 115,283.64 = 45,813.96 : x
  2. Step 2: Convert to fraction form
    83,538.90/115,283.64 = 45,813.96/x
  3. Step 3: Cross multiply
    83,538.90x = 115,283.64 × 45,813.96
  4. Step 4: Simplify right side
    83,538.90x = 5,281,600,071.61
  5. Step 5: Solve for x
    x = 5,281,600,071.61/83,538.90
  6. Step 6: Final answer
    x = 63,223.24

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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.