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Finding the Fourth Proportional to 76,388.34, 114,588.66 and 29,026.11

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Solution

The fourth proportional to 76,388.34, 114,588.66 and 29,026.11 is: 43,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,388.34 : 114,588.66 = 29,026.11 : x
  2. Step 2: Convert to fraction form
    76,388.34/114,588.66 = 29,026.11/x
  3. Step 3: Cross multiply
    76,388.34x = 114,588.66 × 29,026.11
  4. Step 4: Simplify right side
    76,388.34x = 3,326,063,049.91
  5. Step 5: Solve for x
    x = 3,326,063,049.91/76,388.34
  6. Step 6: Final answer
    x = 43,541.50

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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.