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Finding the Fourth Proportional to 110,430.33, 165,642.12 and 31,544.70

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Solution

The fourth proportional to 110,430.33, 165,642.12 and 31,544.70 is: 47,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,430.33 : 165,642.12 = 31,544.70 : x
  2. Step 2: Convert to fraction form
    110,430.33/165,642.12 = 31,544.70/x
  3. Step 3: Cross multiply
    110,430.33x = 165,642.12 × 31,544.70
  4. Step 4: Simplify right side
    110,430.33x = 5,225,130,982.76
  5. Step 5: Solve for x
    x = 5,225,130,982.76/110,430.33
  6. Step 6: Final answer
    x = 47,316.09

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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.