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Finding the Fourth Proportional to 24,047.71, 36,078.22 and 10,014.34

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Solution

The fourth proportional to 24,047.71, 36,078.22 and 10,014.34 is: 15,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.71 : 36,078.22 = 10,014.34 : x
  2. Step 2: Convert to fraction form
    24,047.71/36,078.22 = 10,014.34/x
  3. Step 3: Cross multiply
    24,047.71x = 36,078.22 × 10,014.34
  4. Step 4: Simplify right side
    24,047.71x = 361,299,561.67
  5. Step 5: Solve for x
    x = 361,299,561.67/24,047.71
  6. Step 6: Final answer
    x = 15,024.28

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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.