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Finding the Fourth Proportional to 35,574.50, 49,115.64 and 22,833.14

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Solution

The fourth proportional to 35,574.50, 49,115.64 and 22,833.14 is: 31,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.50 : 49,115.64 = 22,833.14 : x
  2. Step 2: Convert to fraction form
    35,574.50/49,115.64 = 22,833.14/x
  3. Step 3: Cross multiply
    35,574.50x = 49,115.64 × 22,833.14
  4. Step 4: Simplify right side
    35,574.50x = 1,121,464,284.31
  5. Step 5: Solve for x
    x = 1,121,464,284.31/35,574.50
  6. Step 6: Final answer
    x = 31,524.39

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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.