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Finding the Fourth Proportional to 71,844.32, 107,792.40 and 36,800.48

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Solution

The fourth proportional to 71,844.32, 107,792.40 and 36,800.48 is: 55,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,844.32 : 107,792.40 = 36,800.48 : x
  2. Step 2: Convert to fraction form
    71,844.32/107,792.40 = 36,800.48/x
  3. Step 3: Cross multiply
    71,844.32x = 107,792.40 × 36,800.48
  4. Step 4: Simplify right side
    71,844.32x = 3,966,812,060.35
  5. Step 5: Solve for x
    x = 3,966,812,060.35/71,844.32
  6. Step 6: Final answer
    x = 55,214.00

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Why These Related Problems?

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