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Finding the Fourth Proportional to 53,689.61, 80,441.40 and 32,585.43

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Solution

The fourth proportional to 53,689.61, 80,441.40 and 32,585.43 is: 48,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,689.61 : 80,441.40 = 32,585.43 : x
  2. Step 2: Convert to fraction form
    53,689.61/80,441.40 = 32,585.43/x
  3. Step 3: Cross multiply
    53,689.61x = 80,441.40 × 32,585.43
  4. Step 4: Simplify right side
    53,689.61x = 2,621,217,894.22
  5. Step 5: Solve for x
    x = 2,621,217,894.22/53,689.61
  6. Step 6: Final answer
    x = 48,821.69

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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.