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Finding the Fourth Proportional to 30,294.91, 45,463.12 and 10,573.47

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Solution

The fourth proportional to 30,294.91, 45,463.12 and 10,573.47 is: 15,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.91 : 45,463.12 = 10,573.47 : x
  2. Step 2: Convert to fraction form
    30,294.91/45,463.12 = 10,573.47/x
  3. Step 3: Cross multiply
    30,294.91x = 45,463.12 × 10,573.47
  4. Step 4: Simplify right side
    30,294.91x = 480,702,791.37
  5. Step 5: Solve for x
    x = 480,702,791.37/30,294.91
  6. Step 6: Final answer
    x = 15,867.44

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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.