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Finding the Fourth Proportional to 65,957.50, 91,021.35 and 36,149.50

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Solution

The fourth proportional to 65,957.50, 91,021.35 and 36,149.50 is: 49,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.50 : 91,021.35 = 36,149.50 : x
  2. Step 2: Convert to fraction form
    65,957.50/91,021.35 = 36,149.50/x
  3. Step 3: Cross multiply
    65,957.50x = 91,021.35 × 36,149.50
  4. Step 4: Simplify right side
    65,957.50x = 3,290,376,291.83
  5. Step 5: Solve for x
    x = 3,290,376,291.83/65,957.50
  6. Step 6: Final answer
    x = 49,886.31

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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.