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Finding the Fourth Proportional to 53,242.31, 79,863.57 and 29,870.57

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Solution

The fourth proportional to 53,242.31, 79,863.57 and 29,870.57 is: 44,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242.31 : 79,863.57 = 29,870.57 : x
  2. Step 2: Convert to fraction form
    53,242.31/79,863.57 = 29,870.57/x
  3. Step 3: Cross multiply
    53,242.31x = 79,863.57 × 29,870.57
  4. Step 4: Simplify right side
    53,242.31x = 2,385,570,557.79
  5. Step 5: Solve for x
    x = 2,385,570,557.79/53,242.31
  6. Step 6: Final answer
    x = 44,805.92

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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.