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Finding the Fourth Proportional to 32,546.85, 48,802.72 and 17,562

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Solution

The fourth proportional to 32,546.85, 48,802.72 and 17,562 is: 26,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.85 : 48,802.72 = 17,562 : x
  2. Step 2: Convert to fraction form
    32,546.85/48,802.72 = 17,562/x
  3. Step 3: Cross multiply
    32,546.85x = 48,802.72 × 17,562
  4. Step 4: Simplify right side
    32,546.85x = 857,073,368.64
  5. Step 5: Solve for x
    x = 857,073,368.64/32,546.85
  6. Step 6: Final answer
    x = 26,333.53

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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.