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Finding the Fourth Proportional to 48,603.25, 72,904.92 and 13,543.84

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Solution

The fourth proportional to 48,603.25, 72,904.92 and 13,543.84 is: 20,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,603.25 : 72,904.92 = 13,543.84 : x
  2. Step 2: Convert to fraction form
    48,603.25/72,904.92 = 13,543.84/x
  3. Step 3: Cross multiply
    48,603.25x = 72,904.92 × 13,543.84
  4. Step 4: Simplify right side
    48,603.25x = 987,412,571.69
  5. Step 5: Solve for x
    x = 987,412,571.69/48,603.25
  6. Step 6: Final answer
    x = 20,315.77

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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.