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Finding the Fourth Proportional to 66,386, 91,612.68 and 36,578

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Solution

The fourth proportional to 66,386, 91,612.68 and 36,578 is: 50,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,386 : 91,612.68 = 36,578 : x
  2. Step 2: Convert to fraction form
    66,386/91,612.68 = 36,578/x
  3. Step 3: Cross multiply
    66,386x = 91,612.68 × 36,578
  4. Step 4: Simplify right side
    66,386x = 3,351,008,609.04
  5. Step 5: Solve for x
    x = 3,351,008,609.04/66,386
  6. Step 6: Final answer
    x = 50,477.64

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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.