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Finding the Fourth Proportional to 30,530.88, 42,107.04 and 19,912.32

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Solution

The fourth proportional to 30,530.88, 42,107.04 and 19,912.32 is: 27,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.88 : 42,107.04 = 19,912.32 : x
  2. Step 2: Convert to fraction form
    30,530.88/42,107.04 = 19,912.32/x
  3. Step 3: Cross multiply
    30,530.88x = 42,107.04 × 19,912.32
  4. Step 4: Simplify right side
    30,530.88x = 838,448,854.73
  5. Step 5: Solve for x
    x = 838,448,854.73/30,530.88
  6. Step 6: Final answer
    x = 27,462.32

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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.