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Finding the Fourth Proportional to 106,339.70, 159,509.52 and 31,454

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Solution

The fourth proportional to 106,339.70, 159,509.52 and 31,454 is: 47,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,339.70 : 159,509.52 = 31,454 : x
  2. Step 2: Convert to fraction form
    106,339.70/159,509.52 = 31,454/x
  3. Step 3: Cross multiply
    106,339.70x = 159,509.52 × 31,454
  4. Step 4: Simplify right side
    106,339.70x = 5,017,212,442.08
  5. Step 5: Solve for x
    x = 5,017,212,442.08/106,339.70
  6. Step 6: Final answer
    x = 47,180.99

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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.