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Finding the Fourth Proportional to 83,328.39, 114,873.54 and 59,413.55

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Solution

The fourth proportional to 83,328.39, 114,873.54 and 59,413.55 is: 81,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328.39 : 114,873.54 = 59,413.55 : x
  2. Step 2: Convert to fraction form
    83,328.39/114,873.54 = 59,413.55/x
  3. Step 3: Cross multiply
    83,328.39x = 114,873.54 × 59,413.55
  4. Step 4: Simplify right side
    83,328.39x = 6,825,044,238.10
  5. Step 5: Solve for x
    x = 6,825,044,238.10/83,328.39
  6. Step 6: Final answer
    x = 81,905.39

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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.