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Finding the Fourth Proportional to 83,357.64, 125,050.68 and 30,767.40

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Solution

The fourth proportional to 83,357.64, 125,050.68 and 30,767.40 is: 46,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.64 : 125,050.68 = 30,767.40 : x
  2. Step 2: Convert to fraction form
    83,357.64/125,050.68 = 30,767.40/x
  3. Step 3: Cross multiply
    83,357.64x = 125,050.68 × 30,767.40
  4. Step 4: Simplify right side
    83,357.64x = 3,847,484,291.83
  5. Step 5: Solve for x
    x = 3,847,484,291.83/83,357.64
  6. Step 6: Final answer
    x = 46,156.35

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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.