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Finding the Fourth Proportional to 38,200.40, 52,719.90 and 22,289.98

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Solution

The fourth proportional to 38,200.40, 52,719.90 and 22,289.98 is: 30,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.40 : 52,719.90 = 22,289.98 : x
  2. Step 2: Convert to fraction form
    38,200.40/52,719.90 = 22,289.98/x
  3. Step 3: Cross multiply
    38,200.40x = 52,719.90 × 22,289.98
  4. Step 4: Simplify right side
    38,200.40x = 1,175,125,384.80
  5. Step 5: Solve for x
    x = 1,175,125,384.80/38,200.40
  6. Step 6: Final answer
    x = 30,762.12

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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.