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Finding the Fourth Proportional to 47,829.60, 65,994.84 and 27,685.28

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Solution

The fourth proportional to 47,829.60, 65,994.84 and 27,685.28 is: 38,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,829.60 : 65,994.84 = 27,685.28 : x
  2. Step 2: Convert to fraction form
    47,829.60/65,994.84 = 27,685.28/x
  3. Step 3: Cross multiply
    47,829.60x = 65,994.84 × 27,685.28
  4. Step 4: Simplify right side
    47,829.60x = 1,827,085,623.96
  5. Step 5: Solve for x
    x = 1,827,085,623.96/47,829.60
  6. Step 6: Final answer
    x = 38,199.89

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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.