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Finding the Fourth Proportional to 106,738.98, 160,117.47 and 31,854.30

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Solution

The fourth proportional to 106,738.98, 160,117.47 and 31,854.30 is: 47,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,738.98 : 160,117.47 = 31,854.30 : x
  2. Step 2: Convert to fraction form
    106,738.98/160,117.47 = 31,854.30/x
  3. Step 3: Cross multiply
    106,738.98x = 160,117.47 × 31,854.30
  4. Step 4: Simplify right side
    106,738.98x = 5,100,429,924.62
  5. Step 5: Solve for x
    x = 5,100,429,924.62/106,738.98
  6. Step 6: Final answer
    x = 47,784.14

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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.