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Finding the Fourth Proportional to 69,838.20, 104,784.18 and 32,417.40

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Solution

The fourth proportional to 69,838.20, 104,784.18 and 32,417.40 is: 48,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.20 : 104,784.18 = 32,417.40 : x
  2. Step 2: Convert to fraction form
    69,838.20/104,784.18 = 32,417.40/x
  3. Step 3: Cross multiply
    69,838.20x = 104,784.18 × 32,417.40
  4. Step 4: Simplify right side
    69,838.20x = 3,396,830,676.73
  5. Step 5: Solve for x
    x = 3,396,830,676.73/69,838.20
  6. Step 6: Final answer
    x = 48,638.58

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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.