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Finding the Fourth Proportional to 38,416.74, 52,894.45 and 32,662.88

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Solution

The fourth proportional to 38,416.74, 52,894.45 and 32,662.88 is: 44,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.74 : 52,894.45 = 32,662.88 : x
  2. Step 2: Convert to fraction form
    38,416.74/52,894.45 = 32,662.88/x
  3. Step 3: Cross multiply
    38,416.74x = 52,894.45 × 32,662.88
  4. Step 4: Simplify right side
    38,416.74x = 1,727,685,073.02
  5. Step 5: Solve for x
    x = 1,727,685,073.02/38,416.74
  6. Step 6: Final answer
    x = 44,972.19

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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.