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Finding the Fourth Proportional to 75,413.70, 113,032.53 and 55,507.95

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Solution

The fourth proportional to 75,413.70, 113,032.53 and 55,507.95 is: 83,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.70 : 113,032.53 = 55,507.95 : x
  2. Step 2: Convert to fraction form
    75,413.70/113,032.53 = 55,507.95/x
  3. Step 3: Cross multiply
    75,413.70x = 113,032.53 × 55,507.95
  4. Step 4: Simplify right side
    75,413.70x = 6,274,204,023.61
  5. Step 5: Solve for x
    x = 6,274,204,023.61/75,413.70
  6. Step 6: Final answer
    x = 83,197.14

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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.