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Finding the Fourth Proportional to 75,704.80, 113,574.98 and 23,114.32

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Solution

The fourth proportional to 75,704.80, 113,574.98 and 23,114.32 is: 34,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.80 : 113,574.98 = 23,114.32 : x
  2. Step 2: Convert to fraction form
    75,704.80/113,574.98 = 23,114.32/x
  3. Step 3: Cross multiply
    75,704.80x = 113,574.98 × 23,114.32
  4. Step 4: Simplify right side
    75,704.80x = 2,625,208,431.71
  5. Step 5: Solve for x
    x = 2,625,208,431.71/75,704.80
  6. Step 6: Final answer
    x = 34,676.91

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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.