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Finding the Fourth Proportional to 83,742.32, 115,566.52 and 46,017.52

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Solution

The fourth proportional to 83,742.32, 115,566.52 and 46,017.52 is: 63,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,742.32 : 115,566.52 = 46,017.52 : x
  2. Step 2: Convert to fraction form
    83,742.32/115,566.52 = 46,017.52/x
  3. Step 3: Cross multiply
    83,742.32x = 115,566.52 × 46,017.52
  4. Step 4: Simplify right side
    83,742.32x = 5,318,084,645.43
  5. Step 5: Solve for x
    x = 5,318,084,645.43/83,742.32
  6. Step 6: Final answer
    x = 63,505.34

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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.