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Finding the Fourth Proportional to 109,224, 163,862 and 35,352

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Solution

The fourth proportional to 109,224, 163,862 and 35,352 is: 53,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,224 : 163,862 = 35,352 : x
  2. Step 2: Convert to fraction form
    109,224/163,862 = 35,352/x
  3. Step 3: Cross multiply
    109,224x = 163,862 × 35,352
  4. Step 4: Simplify right side
    109,224x = 5,792,849,424
  5. Step 5: Solve for x
    x = 5,792,849,424/109,224
  6. Step 6: Final answer
    x = 53,036.42

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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.