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Finding the Fourth Proportional to 83,985.64, 115,891.14 and 46,257.64

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Solution

The fourth proportional to 83,985.64, 115,891.14 and 46,257.64 is: 63,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,985.64 : 115,891.14 = 46,257.64 : x
  2. Step 2: Convert to fraction form
    83,985.64/115,891.14 = 46,257.64/x
  3. Step 3: Cross multiply
    83,985.64x = 115,891.14 × 46,257.64
  4. Step 4: Simplify right side
    83,985.64x = 5,360,850,633.31
  5. Step 5: Solve for x
    x = 5,360,850,633.31/83,985.64
  6. Step 6: Final answer
    x = 63,830.56

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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.