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Finding the Fourth Proportional to 67,097.17, 100,646.19 and 19,712.07

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Solution

The fourth proportional to 67,097.17, 100,646.19 and 19,712.07 is: 29,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,097.17 : 100,646.19 = 19,712.07 : x
  2. Step 2: Convert to fraction form
    67,097.17/100,646.19 = 19,712.07/x
  3. Step 3: Cross multiply
    67,097.17x = 100,646.19 × 19,712.07
  4. Step 4: Simplify right side
    67,097.17x = 1,983,944,742.51
  5. Step 5: Solve for x
    x = 1,983,944,742.51/67,097.17
  6. Step 6: Final answer
    x = 29,568.23

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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.