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Finding the Fourth Proportional to 38,703.32, 53,387.88 and 24,340.34

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Solution

The fourth proportional to 38,703.32, 53,387.88 and 24,340.34 is: 33,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,703.32 : 53,387.88 = 24,340.34 : x
  2. Step 2: Convert to fraction form
    38,703.32/53,387.88 = 24,340.34/x
  3. Step 3: Cross multiply
    38,703.32x = 53,387.88 × 24,340.34
  4. Step 4: Simplify right side
    38,703.32x = 1,299,478,884.14
  5. Step 5: Solve for x
    x = 1,299,478,884.14/38,703.32
  6. Step 6: Final answer
    x = 33,575.39

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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.