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Finding the Fourth Proportional to 38,819.04, 53,516 and 32,826.64

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Solution

The fourth proportional to 38,819.04, 53,516 and 32,826.64 is: 45,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819.04 : 53,516 = 32,826.64 : x
  2. Step 2: Convert to fraction form
    38,819.04/53,516 = 32,826.64/x
  3. Step 3: Cross multiply
    38,819.04x = 53,516 × 32,826.64
  4. Step 4: Simplify right side
    38,819.04x = 1,756,750,466.24
  5. Step 5: Solve for x
    x = 1,756,750,466.24/38,819.04
  6. Step 6: Final answer
    x = 45,254.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.