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Finding the Fourth Proportional to 106,894.79, 160,297.08 and 32,025.58

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Solution

The fourth proportional to 106,894.79, 160,297.08 and 32,025.58 is: 48,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,894.79 : 160,297.08 = 32,025.58 : x
  2. Step 2: Convert to fraction form
    106,894.79/160,297.08 = 32,025.58/x
  3. Step 3: Cross multiply
    106,894.79x = 160,297.08 × 32,025.58
  4. Step 4: Simplify right side
    106,894.79x = 5,133,606,438.47
  5. Step 5: Solve for x
    x = 5,133,606,438.47/106,894.79
  6. Step 6: Final answer
    x = 48,024.85

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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.