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Finding the Fourth Proportional to 76,464, 114,700.32 and 27,216

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Solution

The fourth proportional to 76,464, 114,700.32 and 27,216 is: 40,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 114,700.32 = 27,216 : x
  2. Step 2: Convert to fraction form
    76,464/114,700.32 = 27,216/x
  3. Step 3: Cross multiply
    76,464x = 114,700.32 × 27,216
  4. Step 4: Simplify right side
    76,464x = 3,121,683,909.12
  5. Step 5: Solve for x
    x = 3,121,683,909.12/76,464
  6. Step 6: Final answer
    x = 40,825.54

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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.