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Finding the Fourth Proportional to 83,223.10, 114,842.10 and 46,925.83

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Solution

The fourth proportional to 83,223.10, 114,842.10 and 46,925.83 is: 64,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.10 : 114,842.10 = 46,925.83 : x
  2. Step 2: Convert to fraction form
    83,223.10/114,842.10 = 46,925.83/x
  3. Step 3: Cross multiply
    83,223.10x = 114,842.10 × 46,925.83
  4. Step 4: Simplify right side
    83,223.10x = 5,389,061,180.97
  5. Step 5: Solve for x
    x = 5,389,061,180.97/83,223.10
  6. Step 6: Final answer
    x = 64,754.39

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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.