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Finding the Fourth Proportional to 78,253.90, 117,387.88 and 22,094.57

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Solution

The fourth proportional to 78,253.90, 117,387.88 and 22,094.57 is: 33,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,253.90 : 117,387.88 = 22,094.57 : x
  2. Step 2: Convert to fraction form
    78,253.90/117,387.88 = 22,094.57/x
  3. Step 3: Cross multiply
    78,253.90x = 117,387.88 × 22,094.57
  4. Step 4: Simplify right side
    78,253.90x = 2,593,634,731.81
  5. Step 5: Solve for x
    x = 2,593,634,731.81/78,253.90
  6. Step 6: Final answer
    x = 33,143.84

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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.