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Finding the Fourth Proportional to 51,818, 71,508.84 and 29,462

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Solution

The fourth proportional to 51,818, 71,508.84 and 29,462 is: 40,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818 : 71,508.84 = 29,462 : x
  2. Step 2: Convert to fraction form
    51,818/71,508.84 = 29,462/x
  3. Step 3: Cross multiply
    51,818x = 71,508.84 × 29,462
  4. Step 4: Simplify right side
    51,818x = 2,106,793,444.08
  5. Step 5: Solve for x
    x = 2,106,793,444.08/51,818
  6. Step 6: Final answer
    x = 40,657.56

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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.