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Finding the Fourth Proportional to 52,014.66, 71,775 and 29,351.58

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Solution

The fourth proportional to 52,014.66, 71,775 and 29,351.58 is: 40,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.66 : 71,775 = 29,351.58 : x
  2. Step 2: Convert to fraction form
    52,014.66/71,775 = 29,351.58/x
  3. Step 3: Cross multiply
    52,014.66x = 71,775 × 29,351.58
  4. Step 4: Simplify right side
    52,014.66x = 2,106,709,654.50
  5. Step 5: Solve for x
    x = 2,106,709,654.50/52,014.66
  6. Step 6: Final answer
    x = 40,502.23

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1.5x scale

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.