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Finding the Fourth Proportional to 83,977, 115,888.26 and 46,251.16

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Solution

The fourth proportional to 83,977, 115,888.26 and 46,251.16 is: 63,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977 : 115,888.26 = 46,251.16 : x
  2. Step 2: Convert to fraction form
    83,977/115,888.26 = 46,251.16/x
  3. Step 3: Cross multiply
    83,977x = 115,888.26 × 46,251.16
  4. Step 4: Simplify right side
    83,977x = 5,359,966,455.38
  5. Step 5: Solve for x
    x = 5,359,966,455.38/83,977
  6. Step 6: Final answer
    x = 63,826.60

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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.