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Finding the Fourth Proportional to 58,946.49, 81,322.11 and 36,278.64

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Solution

The fourth proportional to 58,946.49, 81,322.11 and 36,278.64 is: 50,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,946.49 : 81,322.11 = 36,278.64 : x
  2. Step 2: Convert to fraction form
    58,946.49/81,322.11 = 36,278.64/x
  3. Step 3: Cross multiply
    58,946.49x = 81,322.11 × 36,278.64
  4. Step 4: Simplify right side
    58,946.49x = 2,950,255,552.73
  5. Step 5: Solve for x
    x = 2,950,255,552.73/58,946.49
  6. Step 6: Final answer
    x = 50,049.72

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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.