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Finding the Fourth Proportional to 38,116.46, 52,595.78 and 21,349.46

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Solution

The fourth proportional to 38,116.46, 52,595.78 and 21,349.46 is: 29,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116.46 : 52,595.78 = 21,349.46 : x
  2. Step 2: Convert to fraction form
    38,116.46/52,595.78 = 21,349.46/x
  3. Step 3: Cross multiply
    38,116.46x = 52,595.78 × 21,349.46
  4. Step 4: Simplify right side
    38,116.46x = 1,122,891,501.28
  5. Step 5: Solve for x
    x = 1,122,891,501.28/38,116.46
  6. Step 6: Final answer
    x = 29,459.49

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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.