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Finding the Fourth Proportional to 78,967.76, 118,451.76 and 23,563.76

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Solution

The fourth proportional to 78,967.76, 118,451.76 and 23,563.76 is: 35,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.76 : 118,451.76 = 23,563.76 : x
  2. Step 2: Convert to fraction form
    78,967.76/118,451.76 = 23,563.76/x
  3. Step 3: Cross multiply
    78,967.76x = 118,451.76 × 23,563.76
  4. Step 4: Simplify right side
    78,967.76x = 2,791,168,844.22
  5. Step 5: Solve for x
    x = 2,791,168,844.22/78,967.76
  6. Step 6: Final answer
    x = 35,345.68

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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.