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Finding the Fourth Proportional to 83,017.62, 114,559.65 and 47,216.34

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Solution

The fourth proportional to 83,017.62, 114,559.65 and 47,216.34 is: 65,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,017.62 : 114,559.65 = 47,216.34 : x
  2. Step 2: Convert to fraction form
    83,017.62/114,559.65 = 47,216.34/x
  3. Step 3: Cross multiply
    83,017.62x = 114,559.65 × 47,216.34
  4. Step 4: Simplify right side
    83,017.62x = 5,409,087,384.68
  5. Step 5: Solve for x
    x = 5,409,087,384.68/83,017.62
  6. Step 6: Final answer
    x = 65,155.90

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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.