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Finding the Fourth Proportional to 30,658.20, 45,992.70 and 10,948.20

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Solution

The fourth proportional to 30,658.20, 45,992.70 and 10,948.20 is: 16,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.20 : 45,992.70 = 10,948.20 : x
  2. Step 2: Convert to fraction form
    30,658.20/45,992.70 = 10,948.20/x
  3. Step 3: Cross multiply
    30,658.20x = 45,992.70 × 10,948.20
  4. Step 4: Simplify right side
    30,658.20x = 503,537,278.14
  5. Step 5: Solve for x
    x = 503,537,278.14/30,658.20
  6. Step 6: Final answer
    x = 16,424.23

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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.