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Finding the Fourth Proportional to 65,527.83, 98,144.02 and 45,894.01

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Solution

The fourth proportional to 65,527.83, 98,144.02 and 45,894.01 is: 68,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,527.83 : 98,144.02 = 45,894.01 : x
  2. Step 2: Convert to fraction form
    65,527.83/98,144.02 = 45,894.01/x
  3. Step 3: Cross multiply
    65,527.83x = 98,144.02 × 45,894.01
  4. Step 4: Simplify right side
    65,527.83x = 4,504,222,635.32
  5. Step 5: Solve for x
    x = 4,504,222,635.32/65,527.83
  6. Step 6: Final answer
    x = 68,737.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.