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Finding the Fourth Proportional to 32,423.40, 48,656.70 and 14,884.20

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Solution

The fourth proportional to 32,423.40, 48,656.70 and 14,884.20 is: 22,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.40 : 48,656.70 = 14,884.20 : x
  2. Step 2: Convert to fraction form
    32,423.40/48,656.70 = 14,884.20/x
  3. Step 3: Cross multiply
    32,423.40x = 48,656.70 × 14,884.20
  4. Step 4: Simplify right side
    32,423.40x = 724,216,054.14
  5. Step 5: Solve for x
    x = 724,216,054.14/32,423.40
  6. Step 6: Final answer
    x = 22,336.22

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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.