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Finding the Fourth Proportional to 51,734.50, 77,287.06 and 32,863.32

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Solution

The fourth proportional to 51,734.50, 77,287.06 and 32,863.32 is: 49,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.50 : 77,287.06 = 32,863.32 : x
  2. Step 2: Convert to fraction form
    51,734.50/77,287.06 = 32,863.32/x
  3. Step 3: Cross multiply
    51,734.50x = 77,287.06 × 32,863.32
  4. Step 4: Simplify right side
    51,734.50x = 2,539,909,425.72
  5. Step 5: Solve for x
    x = 2,539,909,425.72/51,734.50
  6. Step 6: Final answer
    x = 49,095.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.