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Finding the Fourth Proportional to 32,038.55, 48,057.85 and 8,346.04

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Solution

The fourth proportional to 32,038.55, 48,057.85 and 8,346.04 is: 12,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.55 : 48,057.85 = 8,346.04 : x
  2. Step 2: Convert to fraction form
    32,038.55/48,057.85 = 8,346.04/x
  3. Step 3: Cross multiply
    32,038.55x = 48,057.85 × 8,346.04
  4. Step 4: Simplify right side
    32,038.55x = 401,092,605.23
  5. Step 5: Solve for x
    x = 401,092,605.23/32,038.55
  6. Step 6: Final answer
    x = 12,519.06

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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.