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Finding the Fourth Proportional to 34,747, 47,990.46 and 23,549.56

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Solution

The fourth proportional to 34,747, 47,990.46 and 23,549.56 is: 32,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,747 : 47,990.46 = 23,549.56 : x
  2. Step 2: Convert to fraction form
    34,747/47,990.46 = 23,549.56/x
  3. Step 3: Cross multiply
    34,747x = 47,990.46 × 23,549.56
  4. Step 4: Simplify right side
    34,747x = 1,130,154,217.20
  5. Step 5: Solve for x
    x = 1,130,154,217.20/34,747
  6. Step 6: Final answer
    x = 32,525.23

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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.