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Finding the Fourth Proportional to 40,996.32, 61,494.50 and 31,650

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Solution

The fourth proportional to 40,996.32, 61,494.50 and 31,650 is: 47,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,996.32 : 61,494.50 = 31,650 : x
  2. Step 2: Convert to fraction form
    40,996.32/61,494.50 = 31,650/x
  3. Step 3: Cross multiply
    40,996.32x = 61,494.50 × 31,650
  4. Step 4: Simplify right side
    40,996.32x = 1,946,300,925
  5. Step 5: Solve for x
    x = 1,946,300,925/40,996.32
  6. Step 6: Final answer
    x = 47,475.02

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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.