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Finding the Fourth Proportional to 32,346.88, 48,520.05 and 8,973.32

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Solution

The fourth proportional to 32,346.88, 48,520.05 and 8,973.32 is: 13,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.88 : 48,520.05 = 8,973.32 : x
  2. Step 2: Convert to fraction form
    32,346.88/48,520.05 = 8,973.32/x
  3. Step 3: Cross multiply
    32,346.88x = 48,520.05 × 8,973.32
  4. Step 4: Simplify right side
    32,346.88x = 435,385,658.82
  5. Step 5: Solve for x
    x = 435,385,658.82/32,346.88
  6. Step 6: Final answer
    x = 13,459.90

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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.