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Finding the Fourth Proportional to 83,205.24, 114,835.19 and 47,398.65

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Solution

The fourth proportional to 83,205.24, 114,835.19 and 47,398.65 is: 65,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.24 : 114,835.19 = 47,398.65 : x
  2. Step 2: Convert to fraction form
    83,205.24/114,835.19 = 47,398.65/x
  3. Step 3: Cross multiply
    83,205.24x = 114,835.19 × 47,398.65
  4. Step 4: Simplify right side
    83,205.24x = 5,443,032,741.50
  5. Step 5: Solve for x
    x = 5,443,032,741.50/83,205.24
  6. Step 6: Final answer
    x = 65,416.95

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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.