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Finding the Fourth Proportional to 75,802.50, 113,728.86 and 23,212.44

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Solution

The fourth proportional to 75,802.50, 113,728.86 and 23,212.44 is: 34,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.50 : 113,728.86 = 23,212.44 : x
  2. Step 2: Convert to fraction form
    75,802.50/113,728.86 = 23,212.44/x
  3. Step 3: Cross multiply
    75,802.50x = 113,728.86 × 23,212.44
  4. Step 4: Simplify right side
    75,802.50x = 2,639,924,339.02
  5. Step 5: Solve for x
    x = 2,639,924,339.02/75,802.50
  6. Step 6: Final answer
    x = 34,826.35

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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.