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Finding the Fourth Proportional to 83,139.64, 114,731.06 and 46,841.16

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Solution

The fourth proportional to 83,139.64, 114,731.06 and 46,841.16 is: 64,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,139.64 : 114,731.06 = 46,841.16 : x
  2. Step 2: Convert to fraction form
    83,139.64/114,731.06 = 46,841.16/x
  3. Step 3: Cross multiply
    83,139.64x = 114,731.06 × 46,841.16
  4. Step 4: Simplify right side
    83,139.64x = 5,374,135,938.43
  5. Step 5: Solve for x
    x = 5,374,135,938.43/83,139.64
  6. Step 6: Final answer
    x = 64,639.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.