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Finding the Fourth Proportional to 78,076.50, 117,118 and 22,672.50

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Solution

The fourth proportional to 78,076.50, 117,118 and 22,672.50 is: 34,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.50 : 117,118 = 22,672.50 : x
  2. Step 2: Convert to fraction form
    78,076.50/117,118 = 22,672.50/x
  3. Step 3: Cross multiply
    78,076.50x = 117,118 × 22,672.50
  4. Step 4: Simplify right side
    78,076.50x = 2,655,357,855
  5. Step 5: Solve for x
    x = 2,655,357,855/78,076.50
  6. Step 6: Final answer
    x = 34,009.69

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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.