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Finding the Fourth Proportional to 47,302.44, 65,293.18 and 28,188.22

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Solution

The fourth proportional to 47,302.44, 65,293.18 and 28,188.22 is: 38,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,302.44 : 65,293.18 = 28,188.22 : x
  2. Step 2: Convert to fraction form
    47,302.44/65,293.18 = 28,188.22/x
  3. Step 3: Cross multiply
    47,302.44x = 65,293.18 × 28,188.22
  4. Step 4: Simplify right side
    47,302.44x = 1,840,498,333.80
  5. Step 5: Solve for x
    x = 1,840,498,333.80/47,302.44
  6. Step 6: Final answer
    x = 38,909.16

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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.