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Finding the Fourth Proportional to 109,235.40, 163,824.30 and 34,355.40

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Solution

The fourth proportional to 109,235.40, 163,824.30 and 34,355.40 is: 51,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,235.40 : 163,824.30 = 34,355.40 : x
  2. Step 2: Convert to fraction form
    109,235.40/163,824.30 = 34,355.40/x
  3. Step 3: Cross multiply
    109,235.40x = 163,824.30 × 34,355.40
  4. Step 4: Simplify right side
    109,235.40x = 5,628,249,356.22
  5. Step 5: Solve for x
    x = 5,628,249,356.22/109,235.40
  6. Step 6: Final answer
    x = 51,524.04

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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.