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Finding the Fourth Proportional to 38,116.86, 52,594.47 and 21,346.62

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Solution

The fourth proportional to 38,116.86, 52,594.47 and 21,346.62 is: 29,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116.86 : 52,594.47 = 21,346.62 : x
  2. Step 2: Convert to fraction form
    38,116.86/52,594.47 = 21,346.62/x
  3. Step 3: Cross multiply
    38,116.86x = 52,594.47 × 21,346.62
  4. Step 4: Simplify right side
    38,116.86x = 1,122,714,165.19
  5. Step 5: Solve for x
    x = 1,122,714,165.19/38,116.86
  6. Step 6: Final answer
    x = 29,454.53

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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.