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Finding the Fourth Proportional to 60,713.10, 83,823.12 and 41,624.64

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Solution

The fourth proportional to 60,713.10, 83,823.12 and 41,624.64 is: 57,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,713.10 : 83,823.12 = 41,624.64 : x
  2. Step 2: Convert to fraction form
    60,713.10/83,823.12 = 41,624.64/x
  3. Step 3: Cross multiply
    60,713.10x = 83,823.12 × 41,624.64
  4. Step 4: Simplify right side
    60,713.10x = 3,489,107,193.68
  5. Step 5: Solve for x
    x = 3,489,107,193.68/60,713.10
  6. Step 6: Final answer
    x = 57,468.77

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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.