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Finding the Fourth Proportional to 98,552.56, 147,812.64 and 28,413.04

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Solution

The fourth proportional to 98,552.56, 147,812.64 and 28,413.04 is: 42,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,552.56 : 147,812.64 = 28,413.04 : x
  2. Step 2: Convert to fraction form
    98,552.56/147,812.64 = 28,413.04/x
  3. Step 3: Cross multiply
    98,552.56x = 147,812.64 × 28,413.04
  4. Step 4: Simplify right side
    98,552.56x = 4,199,806,452.83
  5. Step 5: Solve for x
    x = 4,199,806,452.83/98,552.56
  6. Step 6: Final answer
    x = 42,614.89

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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.