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Finding the Fourth Proportional to 52,297.68, 72,170.46 and 29,946

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Solution

The fourth proportional to 52,297.68, 72,170.46 and 29,946 is: 41,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297.68 : 72,170.46 = 29,946 : x
  2. Step 2: Convert to fraction form
    52,297.68/72,170.46 = 29,946/x
  3. Step 3: Cross multiply
    52,297.68x = 72,170.46 × 29,946
  4. Step 4: Simplify right side
    52,297.68x = 2,161,216,595.16
  5. Step 5: Solve for x
    x = 2,161,216,595.16/52,297.68
  6. Step 6: Final answer
    x = 41,325.29

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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.