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Finding the Fourth Proportional to 76,602.79, 114,878.67 and 32,221.27

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Solution

The fourth proportional to 76,602.79, 114,878.67 and 32,221.27 is: 48,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602.79 : 114,878.67 = 32,221.27 : x
  2. Step 2: Convert to fraction form
    76,602.79/114,878.67 = 32,221.27/x
  3. Step 3: Cross multiply
    76,602.79x = 114,878.67 × 32,221.27
  4. Step 4: Simplify right side
    76,602.79x = 3,701,536,643.31
  5. Step 5: Solve for x
    x = 3,701,536,643.31/76,602.79
  6. Step 6: Final answer
    x = 48,321.17

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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.