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Finding the Fourth Proportional to 106,426, 159,639.06 and 32,554

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Solution

The fourth proportional to 106,426, 159,639.06 and 32,554 is: 48,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,426 : 159,639.06 = 32,554 : x
  2. Step 2: Convert to fraction form
    106,426/159,639.06 = 32,554/x
  3. Step 3: Cross multiply
    106,426x = 159,639.06 × 32,554
  4. Step 4: Simplify right side
    106,426x = 5,196,889,959.24
  5. Step 5: Solve for x
    x = 5,196,889,959.24/106,426
  6. Step 6: Final answer
    x = 48,831.02

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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.