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Finding the Fourth Proportional to 51,502, 71,074.92 and 29,146

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Solution

The fourth proportional to 51,502, 71,074.92 and 29,146 is: 40,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502 : 71,074.92 = 29,146 : x
  2. Step 2: Convert to fraction form
    51,502/71,074.92 = 29,146/x
  3. Step 3: Cross multiply
    51,502x = 71,074.92 × 29,146
  4. Step 4: Simplify right side
    51,502x = 2,071,549,618.32
  5. Step 5: Solve for x
    x = 2,071,549,618.32/51,502
  6. Step 6: Final answer
    x = 40,222.70

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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.