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Finding the Fourth Proportional to 51,954.32, 71,701.80 and 29,594

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Solution

The fourth proportional to 51,954.32, 71,701.80 and 29,594 is: 40,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954.32 : 71,701.80 = 29,594 : x
  2. Step 2: Convert to fraction form
    51,954.32/71,701.80 = 29,594/x
  3. Step 3: Cross multiply
    51,954.32x = 71,701.80 × 29,594
  4. Step 4: Simplify right side
    51,954.32x = 2,121,943,069.20
  5. Step 5: Solve for x
    x = 2,121,943,069.20/51,954.32
  6. Step 6: Final answer
    x = 40,842.48

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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.