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Finding the Fourth Proportional to 98,180.48, 135,465.54 and 57,891.08

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Solution

The fourth proportional to 98,180.48, 135,465.54 and 57,891.08 is: 79,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,180.48 : 135,465.54 = 57,891.08 : x
  2. Step 2: Convert to fraction form
    98,180.48/135,465.54 = 57,891.08/x
  3. Step 3: Cross multiply
    98,180.48x = 135,465.54 × 57,891.08
  4. Step 4: Simplify right side
    98,180.48x = 7,842,246,413.38
  5. Step 5: Solve for x
    x = 7,842,246,413.38/98,180.48
  6. Step 6: Final answer
    x = 79,875.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.