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Finding the Fourth Proportional to 86,603.75, 129,913.90 and 24,274.07

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Solution

The fourth proportional to 86,603.75, 129,913.90 and 24,274.07 is: 36,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,603.75 : 129,913.90 = 24,274.07 : x
  2. Step 2: Convert to fraction form
    86,603.75/129,913.90 = 24,274.07/x
  3. Step 3: Cross multiply
    86,603.75x = 129,913.90 × 24,274.07
  4. Step 4: Simplify right side
    86,603.75x = 3,153,538,392.32
  5. Step 5: Solve for x
    x = 3,153,538,392.32/86,603.75
  6. Step 6: Final answer
    x = 36,413.42

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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.