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Finding the Fourth Proportional to 32,206.10, 48,309.15 and 24,430.10

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Solution

The fourth proportional to 32,206.10, 48,309.15 and 24,430.10 is: 36,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.10 : 48,309.15 = 24,430.10 : x
  2. Step 2: Convert to fraction form
    32,206.10/48,309.15 = 24,430.10/x
  3. Step 3: Cross multiply
    32,206.10x = 48,309.15 × 24,430.10
  4. Step 4: Simplify right side
    32,206.10x = 1,180,197,365.42
  5. Step 5: Solve for x
    x = 1,180,197,365.42/32,206.10
  6. Step 6: Final answer
    x = 36,645.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.