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Finding the Fourth Proportional to 117,413.62, 176,145.94 and 38,524.88

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Solution

The fourth proportional to 117,413.62, 176,145.94 and 38,524.88 is: 57,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,413.62 : 176,145.94 = 38,524.88 : x
  2. Step 2: Convert to fraction form
    117,413.62/176,145.94 = 38,524.88/x
  3. Step 3: Cross multiply
    117,413.62x = 176,145.94 × 38,524.88
  4. Step 4: Simplify right side
    117,413.62x = 6,786,001,689.51
  5. Step 5: Solve for x
    x = 6,786,001,689.51/117,413.62
  6. Step 6: Final answer
    x = 57,795.70

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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.