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Finding the Fourth Proportional to 65,848.50, 90,871.57 and 36,041.14

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Solution

The fourth proportional to 65,848.50, 90,871.57 and 36,041.14 is: 49,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,848.50 : 90,871.57 = 36,041.14 : x
  2. Step 2: Convert to fraction form
    65,848.50/90,871.57 = 36,041.14/x
  3. Step 3: Cross multiply
    65,848.50x = 90,871.57 × 36,041.14
  4. Step 4: Simplify right side
    65,848.50x = 3,275,114,976.39
  5. Step 5: Solve for x
    x = 3,275,114,976.39/65,848.50
  6. Step 6: Final answer
    x = 49,737.12

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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.