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Finding the Fourth Proportional to 83,802.32, 115,642.28 and 46,076.56

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Solution

The fourth proportional to 83,802.32, 115,642.28 and 46,076.56 is: 63,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802.32 : 115,642.28 = 46,076.56 : x
  2. Step 2: Convert to fraction form
    83,802.32/115,642.28 = 46,076.56/x
  3. Step 3: Cross multiply
    83,802.32x = 115,642.28 × 46,076.56
  4. Step 4: Simplify right side
    83,802.32x = 5,328,398,452.96
  5. Step 5: Solve for x
    x = 5,328,398,452.96/83,802.32
  6. Step 6: Final answer
    x = 63,582.95

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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.