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Finding the Fourth Proportional to 32,459.09, 48,688.13 and 16,655

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Solution

The fourth proportional to 32,459.09, 48,688.13 and 16,655 is: 24,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.09 : 48,688.13 = 16,655 : x
  2. Step 2: Convert to fraction form
    32,459.09/48,688.13 = 16,655/x
  3. Step 3: Cross multiply
    32,459.09x = 48,688.13 × 16,655
  4. Step 4: Simplify right side
    32,459.09x = 810,900,721.88
  5. Step 5: Solve for x
    x = 810,900,721.88/32,459.09
  6. Step 6: Final answer
    x = 24,982.24

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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.