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Finding the Fourth Proportional to 32,205.20, 48,307.80 and 19,763.60

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Solution

The fourth proportional to 32,205.20, 48,307.80 and 19,763.60 is: 29,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.20 : 48,307.80 = 19,763.60 : x
  2. Step 2: Convert to fraction form
    32,205.20/48,307.80 = 19,763.60/x
  3. Step 3: Cross multiply
    32,205.20x = 48,307.80 × 19,763.60
  4. Step 4: Simplify right side
    32,205.20x = 954,736,036.08
  5. Step 5: Solve for x
    x = 954,736,036.08/32,205.20
  6. Step 6: Final answer
    x = 29,645.40

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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.