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Finding the Fourth Proportional to 59,413.68, 89,140.37 and 19,434.48

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Solution

The fourth proportional to 59,413.68, 89,140.37 and 19,434.48 is: 29,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,413.68 : 89,140.37 = 19,434.48 : x
  2. Step 2: Convert to fraction form
    59,413.68/89,140.37 = 19,434.48/x
  3. Step 3: Cross multiply
    59,413.68x = 89,140.37 × 19,434.48
  4. Step 4: Simplify right side
    59,413.68x = 1,732,396,971.90
  5. Step 5: Solve for x
    x = 1,732,396,971.90/59,413.68
  6. Step 6: Final answer
    x = 29,158.22

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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.