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Finding the Fourth Proportional to 32,206.40, 48,309.60 and 22,364.90

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Solution

The fourth proportional to 32,206.40, 48,309.60 and 22,364.90 is: 33,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.40 : 48,309.60 = 22,364.90 : x
  2. Step 2: Convert to fraction form
    32,206.40/48,309.60 = 22,364.90/x
  3. Step 3: Cross multiply
    32,206.40x = 48,309.60 × 22,364.90
  4. Step 4: Simplify right side
    32,206.40x = 1,080,439,373.04
  5. Step 5: Solve for x
    x = 1,080,439,373.04/32,206.40
  6. Step 6: Final answer
    x = 33,547.35

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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.