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Finding the Fourth Proportional to 106,095.59, 159,044.50 and 72,831.32

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Solution

The fourth proportional to 106,095.59, 159,044.50 and 72,831.32 is: 109,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,095.59 : 159,044.50 = 72,831.32 : x
  2. Step 2: Convert to fraction form
    106,095.59/159,044.50 = 72,831.32/x
  3. Step 3: Cross multiply
    106,095.59x = 159,044.50 × 72,831.32
  4. Step 4: Simplify right side
    106,095.59x = 11,583,420,873.74
  5. Step 5: Solve for x
    x = 11,583,420,873.74/106,095.59
  6. Step 6: Final answer
    x = 109,179.10

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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.