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Finding the Fourth Proportional to 83,959.54, 115,826.76 and 56,726.93

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Solution

The fourth proportional to 83,959.54, 115,826.76 and 56,726.93 is: 78,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.54 : 115,826.76 = 56,726.93 : x
  2. Step 2: Convert to fraction form
    83,959.54/115,826.76 = 56,726.93/x
  3. Step 3: Cross multiply
    83,959.54x = 115,826.76 × 56,726.93
  4. Step 4: Simplify right side
    83,959.54x = 6,570,496,796.21
  5. Step 5: Solve for x
    x = 6,570,496,796.21/83,959.54
  6. Step 6: Final answer
    x = 78,257.90

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1.5x scale

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.