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Finding the Fourth Proportional to 73,810.48, 110,719.14 and 23,894.50

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Solution

The fourth proportional to 73,810.48, 110,719.14 and 23,894.50 is: 35,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,810.48 : 110,719.14 = 23,894.50 : x
  2. Step 2: Convert to fraction form
    73,810.48/110,719.14 = 23,894.50/x
  3. Step 3: Cross multiply
    73,810.48x = 110,719.14 × 23,894.50
  4. Step 4: Simplify right side
    73,810.48x = 2,645,578,490.73
  5. Step 5: Solve for x
    x = 2,645,578,490.73/73,810.48
  6. Step 6: Final answer
    x = 35,842.86

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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.