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Finding the Fourth Proportional to 110,313.67, 165,443.17 and 31,428.58

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Solution

The fourth proportional to 110,313.67, 165,443.17 and 31,428.58 is: 47,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,313.67 : 165,443.17 = 31,428.58 : x
  2. Step 2: Convert to fraction form
    110,313.67/165,443.17 = 31,428.58/x
  3. Step 3: Cross multiply
    110,313.67x = 165,443.17 × 31,428.58
  4. Step 4: Simplify right side
    110,313.67x = 5,199,643,903.80
  5. Step 5: Solve for x
    x = 5,199,643,903.80/110,313.67
  6. Step 6: Final answer
    x = 47,135.08

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1.5x scale

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.