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Finding the Fourth Proportional to 65,946.12, 91,005.51 and 35,732.21

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Solution

The fourth proportional to 65,946.12, 91,005.51 and 35,732.21 is: 49,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,946.12 : 91,005.51 = 35,732.21 : x
  2. Step 2: Convert to fraction form
    65,946.12/91,005.51 = 35,732.21/x
  3. Step 3: Cross multiply
    65,946.12x = 91,005.51 × 35,732.21
  4. Step 4: Simplify right side
    65,946.12x = 3,251,827,994.48
  5. Step 5: Solve for x
    x = 3,251,827,994.48/65,946.12
  6. Step 6: Final answer
    x = 49,310.38

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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.