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Finding the Fourth Proportional to 53,312.94, 79,985.84 and 38,353.86

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Solution

The fourth proportional to 53,312.94, 79,985.84 and 38,353.86 is: 57,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,312.94 : 79,985.84 = 38,353.86 : x
  2. Step 2: Convert to fraction form
    53,312.94/79,985.84 = 38,353.86/x
  3. Step 3: Cross multiply
    53,312.94x = 79,985.84 × 38,353.86
  4. Step 4: Simplify right side
    53,312.94x = 3,067,765,517.57
  5. Step 5: Solve for x
    x = 3,067,765,517.57/53,312.94
  6. Step 6: Final answer
    x = 57,542.61

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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.