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Finding the Fourth Proportional to 53,897.92, 80,855.94 and 24,315.04

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Solution

The fourth proportional to 53,897.92, 80,855.94 and 24,315.04 is: 36,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,897.92 : 80,855.94 = 24,315.04 : x
  2. Step 2: Convert to fraction form
    53,897.92/80,855.94 = 24,315.04/x
  3. Step 3: Cross multiply
    53,897.92x = 80,855.94 × 24,315.04
  4. Step 4: Simplify right side
    53,897.92x = 1,966,015,415.34
  5. Step 5: Solve for x
    x = 1,966,015,415.34/53,897.92
  6. Step 6: Final answer
    x = 36,476.65

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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.