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Finding the Fourth Proportional to 41,141, 61,711.48 and 9,976.25

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Solution

The fourth proportional to 41,141, 61,711.48 and 9,976.25 is: 14,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,141 : 61,711.48 = 9,976.25 : x
  2. Step 2: Convert to fraction form
    41,141/61,711.48 = 9,976.25/x
  3. Step 3: Cross multiply
    41,141x = 61,711.48 × 9,976.25
  4. Step 4: Simplify right side
    41,141x = 615,649,152.35
  5. Step 5: Solve for x
    x = 615,649,152.35/41,141
  6. Step 6: Final answer
    x = 14,964.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.