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Finding the Fourth Proportional to 83,191.87, 114,804.77 and 45,466.12

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Solution

The fourth proportional to 83,191.87, 114,804.77 and 45,466.12 is: 62,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.87 : 114,804.77 = 45,466.12 : x
  2. Step 2: Convert to fraction form
    83,191.87/114,804.77 = 45,466.12/x
  3. Step 3: Cross multiply
    83,191.87x = 114,804.77 × 45,466.12
  4. Step 4: Simplify right side
    83,191.87x = 5,219,727,449.39
  5. Step 5: Solve for x
    x = 5,219,727,449.39/83,191.87
  6. Step 6: Final answer
    x = 62,743.24

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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.