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Finding the Fourth Proportional to 83,884, 115,760.72 and 46,159.08

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Solution

The fourth proportional to 83,884, 115,760.72 and 46,159.08 is: 63,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884 : 115,760.72 = 46,159.08 : x
  2. Step 2: Convert to fraction form
    83,884/115,760.72 = 46,159.08/x
  3. Step 3: Cross multiply
    83,884x = 115,760.72 × 46,159.08
  4. Step 4: Simplify right side
    83,884x = 5,343,408,335.34
  5. Step 5: Solve for x
    x = 5,343,408,335.34/83,884
  6. Step 6: Final answer
    x = 63,699.97

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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.