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Finding the Fourth Proportional to 106,344.48, 159,477 and 35,254.08

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Solution

The fourth proportional to 106,344.48, 159,477 and 35,254.08 is: 52,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,344.48 : 159,477 = 35,254.08 : x
  2. Step 2: Convert to fraction form
    106,344.48/159,477 = 35,254.08/x
  3. Step 3: Cross multiply
    106,344.48x = 159,477 × 35,254.08
  4. Step 4: Simplify right side
    106,344.48x = 5,622,214,916.16
  5. Step 5: Solve for x
    x = 5,622,214,916.16/106,344.48
  6. Step 6: Final answer
    x = 52,867.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.