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Finding the Fourth Proportional to 38,347.60, 57,543.36 and 20,818.90

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Solution

The fourth proportional to 38,347.60, 57,543.36 and 20,818.90 is: 31,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,347.60 : 57,543.36 = 20,818.90 : x
  2. Step 2: Convert to fraction form
    38,347.60/57,543.36 = 20,818.90/x
  3. Step 3: Cross multiply
    38,347.60x = 57,543.36 × 20,818.90
  4. Step 4: Simplify right side
    38,347.60x = 1,197,989,457.50
  5. Step 5: Solve for x
    x = 1,197,989,457.50/38,347.60
  6. Step 6: Final answer
    x = 31,240.27

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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.