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Finding the Fourth Proportional to 64,502.70, 96,724.89 and 22,950.78

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Solution

The fourth proportional to 64,502.70, 96,724.89 and 22,950.78 is: 34,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,502.70 : 96,724.89 = 22,950.78 : x
  2. Step 2: Convert to fraction form
    64,502.70/96,724.89 = 22,950.78/x
  3. Step 3: Cross multiply
    64,502.70x = 96,724.89 × 22,950.78
  4. Step 4: Simplify right side
    64,502.70x = 2,219,911,670.91
  5. Step 5: Solve for x
    x = 2,219,911,670.91/64,502.70
  6. Step 6: Final answer
    x = 34,415.79

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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.