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Finding the Fourth Proportional to 109,656, 164,514.24 and 35,784

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Solution

The fourth proportional to 109,656, 164,514.24 and 35,784 is: 53,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656 : 164,514.24 = 35,784 : x
  2. Step 2: Convert to fraction form
    109,656/164,514.24 = 35,784/x
  3. Step 3: Cross multiply
    109,656x = 164,514.24 × 35,784
  4. Step 4: Simplify right side
    109,656x = 5,886,977,564.16
  5. Step 5: Solve for x
    x = 5,886,977,564.16/109,656
  6. Step 6: Final answer
    x = 53,685.87

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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.