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Finding the Fourth Proportional to 110,046.48, 165,069.72 and 31,161.40

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Solution

The fourth proportional to 110,046.48, 165,069.72 and 31,161.40 is: 46,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,046.48 : 165,069.72 = 31,161.40 : x
  2. Step 2: Convert to fraction form
    110,046.48/165,069.72 = 31,161.40/x
  3. Step 3: Cross multiply
    110,046.48x = 165,069.72 × 31,161.40
  4. Step 4: Simplify right side
    110,046.48x = 5,143,803,572.81
  5. Step 5: Solve for x
    x = 5,143,803,572.81/110,046.48
  6. Step 6: Final answer
    x = 46,742.10

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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.