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Finding the Fourth Proportional to 32,237.96, 48,344.63 and 12,513.96

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Solution

The fourth proportional to 32,237.96, 48,344.63 and 12,513.96 is: 18,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,237.96 : 48,344.63 = 12,513.96 : x
  2. Step 2: Convert to fraction form
    32,237.96/48,344.63 = 12,513.96/x
  3. Step 3: Cross multiply
    32,237.96x = 48,344.63 × 12,513.96
  4. Step 4: Simplify right side
    32,237.96x = 604,982,703.47
  5. Step 5: Solve for x
    x = 604,982,703.47/32,237.96
  6. Step 6: Final answer
    x = 18,766.16

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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.