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Finding the Fourth Proportional to 38,117.84, 52,601.83 and 21,121.93

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Solution

The fourth proportional to 38,117.84, 52,601.83 and 21,121.93 is: 29,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.84 : 52,601.83 = 21,121.93 : x
  2. Step 2: Convert to fraction form
    38,117.84/52,601.83 = 21,121.93/x
  3. Step 3: Cross multiply
    38,117.84x = 52,601.83 × 21,121.93
  4. Step 4: Simplify right side
    38,117.84x = 1,111,052,065.52
  5. Step 5: Solve for x
    x = 1,111,052,065.52/38,117.84
  6. Step 6: Final answer
    x = 29,147.83

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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.