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Finding the Fourth Proportional to 109,748.70, 164,493.45 and 46,568.70

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Solution

The fourth proportional to 109,748.70, 164,493.45 and 46,568.70 is: 69,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,748.70 : 164,493.45 = 46,568.70 : x
  2. Step 2: Convert to fraction form
    109,748.70/164,493.45 = 46,568.70/x
  3. Step 3: Cross multiply
    109,748.70x = 164,493.45 × 46,568.70
  4. Step 4: Simplify right side
    109,748.70x = 7,660,246,125.02
  5. Step 5: Solve for x
    x = 7,660,246,125.02/109,748.70
  6. Step 6: Final answer
    x = 69,798.06

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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.