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Finding the Fourth Proportional to 90,458.76, 135,694.64 and 23,898.02

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Solution

The fourth proportional to 90,458.76, 135,694.64 and 23,898.02 is: 35,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,458.76 : 135,694.64 = 23,898.02 : x
  2. Step 2: Convert to fraction form
    90,458.76/135,694.64 = 23,898.02/x
  3. Step 3: Cross multiply
    90,458.76x = 135,694.64 × 23,898.02
  4. Step 4: Simplify right side
    90,458.76x = 3,242,833,220.61
  5. Step 5: Solve for x
    x = 3,242,833,220.61/90,458.76
  6. Step 6: Final answer
    x = 35,848.75

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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.