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Finding the Fourth Proportional to 32,468.80, 48,703.68 and 9,093.76

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Solution

The fourth proportional to 32,468.80, 48,703.68 and 9,093.76 is: 13,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.80 : 48,703.68 = 9,093.76 : x
  2. Step 2: Convert to fraction form
    32,468.80/48,703.68 = 9,093.76/x
  3. Step 3: Cross multiply
    32,468.80x = 48,703.68 × 9,093.76
  4. Step 4: Simplify right side
    32,468.80x = 442,899,577.04
  5. Step 5: Solve for x
    x = 442,899,577.04/32,468.80
  6. Step 6: Final answer
    x = 13,640.77

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1.5x scale

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.