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Finding the Fourth Proportional to 83,001.64, 114,551.82 and 46,211.56

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Solution

The fourth proportional to 83,001.64, 114,551.82 and 46,211.56 is: 63,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001.64 : 114,551.82 = 46,211.56 : x
  2. Step 2: Convert to fraction form
    83,001.64/114,551.82 = 46,211.56/x
  3. Step 3: Cross multiply
    83,001.64x = 114,551.82 × 46,211.56
  4. Step 4: Simplify right side
    83,001.64x = 5,293,618,303.04
  5. Step 5: Solve for x
    x = 5,293,618,303.04/83,001.64
  6. Step 6: Final answer
    x = 63,777.27

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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.