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Finding the Fourth Proportional to 71,162.16, 98,202.84 and 40,947.75

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Solution

The fourth proportional to 71,162.16, 98,202.84 and 40,947.75 is: 56,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.16 : 98,202.84 = 40,947.75 : x
  2. Step 2: Convert to fraction form
    71,162.16/98,202.84 = 40,947.75/x
  3. Step 3: Cross multiply
    71,162.16x = 98,202.84 × 40,947.75
  4. Step 4: Simplify right side
    71,162.16x = 4,021,185,341.61
  5. Step 5: Solve for x
    x = 4,021,185,341.61/71,162.16
  6. Step 6: Final answer
    x = 56,507.35

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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.