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Finding the Fourth Proportional to 38,024.40, 52,486.74 and 22,113.84

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Solution

The fourth proportional to 38,024.40, 52,486.74 and 22,113.84 is: 30,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.40 : 52,486.74 = 22,113.84 : x
  2. Step 2: Convert to fraction form
    38,024.40/52,486.74 = 22,113.84/x
  3. Step 3: Cross multiply
    38,024.40x = 52,486.74 × 22,113.84
  4. Step 4: Simplify right side
    38,024.40x = 1,160,683,370.48
  5. Step 5: Solve for x
    x = 1,160,683,370.48/38,024.40
  6. Step 6: Final answer
    x = 30,524.70

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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.