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Finding the Fourth Proportional to 110,475, 165,719.70 and 31,595.64

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Solution

The fourth proportional to 110,475, 165,719.70 and 31,595.64 is: 47,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,475 : 165,719.70 = 31,595.64 : x
  2. Step 2: Convert to fraction form
    110,475/165,719.70 = 31,595.64/x
  3. Step 3: Cross multiply
    110,475x = 165,719.70 × 31,595.64
  4. Step 4: Simplify right side
    110,475x = 5,236,019,982.11
  5. Step 5: Solve for x
    x = 5,236,019,982.11/110,475
  6. Step 6: Final answer
    x = 47,395.52

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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.