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Finding the Fourth Proportional to 32,357.60, 48,529.92 and 8,977.76

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Solution

The fourth proportional to 32,357.60, 48,529.92 and 8,977.76 is: 13,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.60 : 48,529.92 = 8,977.76 : x
  2. Step 2: Convert to fraction form
    32,357.60/48,529.92 = 8,977.76/x
  3. Step 3: Cross multiply
    32,357.60x = 48,529.92 × 8,977.76
  4. Step 4: Simplify right side
    32,357.60x = 435,689,974.58
  5. Step 5: Solve for x
    x = 435,689,974.58/32,357.60
  6. Step 6: Final answer
    x = 13,464.84

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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.