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Finding the Fourth Proportional to 29,894.82, 41,254.83 and 16,465.74

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Solution

The fourth proportional to 29,894.82, 41,254.83 and 16,465.74 is: 22,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.82 : 41,254.83 = 16,465.74 : x
  2. Step 2: Convert to fraction form
    29,894.82/41,254.83 = 16,465.74/x
  3. Step 3: Cross multiply
    29,894.82x = 41,254.83 × 16,465.74
  4. Step 4: Simplify right side
    29,894.82x = 679,291,304.52
  5. Step 5: Solve for x
    x = 679,291,304.52/29,894.82
  6. Step 6: Final answer
    x = 22,722.71

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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.