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Finding the Fourth Proportional to 101,693.52, 152,582.16 and 44,738.16

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Solution

The fourth proportional to 101,693.52, 152,582.16 and 44,738.16 is: 67,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,693.52 : 152,582.16 = 44,738.16 : x
  2. Step 2: Convert to fraction form
    101,693.52/152,582.16 = 44,738.16/x
  3. Step 3: Cross multiply
    101,693.52x = 152,582.16 × 44,738.16
  4. Step 4: Simplify right side
    101,693.52x = 6,826,245,087.23
  5. Step 5: Solve for x
    x = 6,826,245,087.23/101,693.52
  6. Step 6: Final answer
    x = 67,125.66

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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.