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Finding the Fourth Proportional to 83,565.94, 125,360.64 and 24,405.94

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Solution

The fourth proportional to 83,565.94, 125,360.64 and 24,405.94 is: 36,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.94 : 125,360.64 = 24,405.94 : x
  2. Step 2: Convert to fraction form
    83,565.94/125,360.64 = 24,405.94/x
  3. Step 3: Cross multiply
    83,565.94x = 125,360.64 × 24,405.94
  4. Step 4: Simplify right side
    83,565.94x = 3,059,544,258.20
  5. Step 5: Solve for x
    x = 3,059,544,258.20/83,565.94
  6. Step 6: Final answer
    x = 36,612.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.