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Finding the Fourth Proportional to 110,312.67, 165,441.67 and 31,427.58

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Solution

The fourth proportional to 110,312.67, 165,441.67 and 31,427.58 is: 47,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,312.67 : 165,441.67 = 31,427.58 : x
  2. Step 2: Convert to fraction form
    110,312.67/165,441.67 = 31,427.58/x
  3. Step 3: Cross multiply
    110,312.67x = 165,441.67 × 31,427.58
  4. Step 4: Simplify right side
    110,312.67x = 5,199,431,319.26
  5. Step 5: Solve for x
    x = 5,199,431,319.26/110,312.67
  6. Step 6: Final answer
    x = 47,133.58

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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.