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Finding the Fourth Proportional to 65,988.30, 90,991.65 and 49,024.02

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Solution

The fourth proportional to 65,988.30, 90,991.65 and 49,024.02 is: 67,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,988.30 : 90,991.65 = 49,024.02 : x
  2. Step 2: Convert to fraction form
    65,988.30/90,991.65 = 49,024.02/x
  3. Step 3: Cross multiply
    65,988.30x = 90,991.65 × 49,024.02
  4. Step 4: Simplify right side
    65,988.30x = 4,460,776,469.43
  5. Step 5: Solve for x
    x = 4,460,776,469.43/65,988.30
  6. Step 6: Final answer
    x = 67,599.51

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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.