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Finding the Fourth Proportional to 32,420.40, 48,652.20 and 14,881.20

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Solution

The fourth proportional to 32,420.40, 48,652.20 and 14,881.20 is: 22,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.40 : 48,652.20 = 14,881.20 : x
  2. Step 2: Convert to fraction form
    32,420.40/48,652.20 = 14,881.20/x
  3. Step 3: Cross multiply
    32,420.40x = 48,652.20 × 14,881.20
  4. Step 4: Simplify right side
    32,420.40x = 724,003,118.64
  5. Step 5: Solve for x
    x = 724,003,118.64/32,420.40
  6. Step 6: Final answer
    x = 22,331.71

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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.