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Finding the Fourth Proportional to 38,108.32, 52,543.02 and 28,006

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Solution

The fourth proportional to 38,108.32, 52,543.02 and 28,006 is: 38,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,108.32 : 52,543.02 = 28,006 : x
  2. Step 2: Convert to fraction form
    38,108.32/52,543.02 = 28,006/x
  3. Step 3: Cross multiply
    38,108.32x = 52,543.02 × 28,006
  4. Step 4: Simplify right side
    38,108.32x = 1,471,519,818.12
  5. Step 5: Solve for x
    x = 1,471,519,818.12/38,108.32
  6. Step 6: Final answer
    x = 38,614.14

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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.