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Finding the Fourth Proportional to 32,496.60, 48,707.10 and 14,968.20

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Solution

The fourth proportional to 32,496.60, 48,707.10 and 14,968.20 is: 22,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496.60 : 48,707.10 = 14,968.20 : x
  2. Step 2: Convert to fraction form
    32,496.60/48,707.10 = 14,968.20/x
  3. Step 3: Cross multiply
    32,496.60x = 48,707.10 × 14,968.20
  4. Step 4: Simplify right side
    32,496.60x = 729,057,614.22
  5. Step 5: Solve for x
    x = 729,057,614.22/32,496.60
  6. Step 6: Final answer
    x = 22,434.89

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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.