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Finding the Fourth Proportional to 38,492.40, 57,738.60 and 35,641.20

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Solution

The fourth proportional to 38,492.40, 57,738.60 and 35,641.20 is: 53,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.40 : 57,738.60 = 35,641.20 : x
  2. Step 2: Convert to fraction form
    38,492.40/57,738.60 = 35,641.20/x
  3. Step 3: Cross multiply
    38,492.40x = 57,738.60 × 35,641.20
  4. Step 4: Simplify right side
    38,492.40x = 2,057,872,990.32
  5. Step 5: Solve for x
    x = 2,057,872,990.32/38,492.40
  6. Step 6: Final answer
    x = 53,461.80

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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.