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Finding the Fourth Proportional to 31,652.60, 47,478.90 and 27,424.40

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Solution

The fourth proportional to 31,652.60, 47,478.90 and 27,424.40 is: 41,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.60 : 47,478.90 = 27,424.40 : x
  2. Step 2: Convert to fraction form
    31,652.60/47,478.90 = 27,424.40/x
  3. Step 3: Cross multiply
    31,652.60x = 47,478.90 × 27,424.40
  4. Step 4: Simplify right side
    31,652.60x = 1,302,080,345.16
  5. Step 5: Solve for x
    x = 1,302,080,345.16/31,652.60
  6. Step 6: Final answer
    x = 41,136.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.