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Finding the Fourth Proportional to 98,580.96, 147,877.92 and 35,413.92

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Solution

The fourth proportional to 98,580.96, 147,877.92 and 35,413.92 is: 53,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,580.96 : 147,877.92 = 35,413.92 : x
  2. Step 2: Convert to fraction form
    98,580.96/147,877.92 = 35,413.92/x
  3. Step 3: Cross multiply
    98,580.96x = 147,877.92 × 35,413.92
  4. Step 4: Simplify right side
    98,580.96x = 5,236,936,828.65
  5. Step 5: Solve for x
    x = 5,236,936,828.65/98,580.96
  6. Step 6: Final answer
    x = 53,123.21

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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.