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Finding the Fourth Proportional to 32,468.86, 48,697.80 and 9,089.92

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Solution

The fourth proportional to 32,468.86, 48,697.80 and 9,089.92 is: 13,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.86 : 48,697.80 = 9,089.92 : x
  2. Step 2: Convert to fraction form
    32,468.86/48,697.80 = 9,089.92/x
  3. Step 3: Cross multiply
    32,468.86x = 48,697.80 × 9,089.92
  4. Step 4: Simplify right side
    32,468.86x = 442,659,106.18
  5. Step 5: Solve for x
    x = 442,659,106.18/32,468.86
  6. Step 6: Final answer
    x = 13,633.34

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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.