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Finding the Fourth Proportional to 30,474.62, 45,712.96 and 10,483.94

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Solution

The fourth proportional to 30,474.62, 45,712.96 and 10,483.94 is: 15,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.62 : 45,712.96 = 10,483.94 : x
  2. Step 2: Convert to fraction form
    30,474.62/45,712.96 = 10,483.94/x
  3. Step 3: Cross multiply
    30,474.62x = 45,712.96 × 10,483.94
  4. Step 4: Simplify right side
    30,474.62x = 479,251,929.86
  5. Step 5: Solve for x
    x = 479,251,929.86/30,474.62
  6. Step 6: Final answer
    x = 15,726.26

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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.