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Finding the Fourth Proportional to 40,106.72, 60,159.80 and 31,349

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Solution

The fourth proportional to 40,106.72, 60,159.80 and 31,349 is: 47,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106.72 : 60,159.80 = 31,349 : x
  2. Step 2: Convert to fraction form
    40,106.72/60,159.80 = 31,349/x
  3. Step 3: Cross multiply
    40,106.72x = 60,159.80 × 31,349
  4. Step 4: Simplify right side
    40,106.72x = 1,885,949,570.20
  5. Step 5: Solve for x
    x = 1,885,949,570.20/40,106.72
  6. Step 6: Final answer
    x = 47,023.28

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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.