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Finding the Fourth Proportional to 30,248.94, 45,366 and 9,472.44

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Solution

The fourth proportional to 30,248.94, 45,366 and 9,472.44 is: 14,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,248.94 : 45,366 = 9,472.44 : x
  2. Step 2: Convert to fraction form
    30,248.94/45,366 = 9,472.44/x
  3. Step 3: Cross multiply
    30,248.94x = 45,366 × 9,472.44
  4. Step 4: Simplify right side
    30,248.94x = 429,726,713.04
  5. Step 5: Solve for x
    x = 429,726,713.04/30,248.94
  6. Step 6: Final answer
    x = 14,206.34

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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.