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Finding the Fourth Proportional to 29,055, 40,097.20 and 17,118.84

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Solution

The fourth proportional to 29,055, 40,097.20 and 17,118.84 is: 23,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,055 : 40,097.20 = 17,118.84 : x
  2. Step 2: Convert to fraction form
    29,055/40,097.20 = 17,118.84/x
  3. Step 3: Cross multiply
    29,055x = 40,097.20 × 17,118.84
  4. Step 4: Simplify right side
    29,055x = 686,417,551.25
  5. Step 5: Solve for x
    x = 686,417,551.25/29,055
  6. Step 6: Final answer
    x = 23,624.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.