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Finding the Fourth Proportional to 64,954.39, 97,432.35 and 22,835.71

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Solution

The fourth proportional to 64,954.39, 97,432.35 and 22,835.71 is: 34,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,954.39 : 97,432.35 = 22,835.71 : x
  2. Step 2: Convert to fraction form
    64,954.39/97,432.35 = 22,835.71/x
  3. Step 3: Cross multiply
    64,954.39x = 97,432.35 × 22,835.71
  4. Step 4: Simplify right side
    64,954.39x = 2,224,936,889.22
  5. Step 5: Solve for x
    x = 2,224,936,889.22/64,954.39
  6. Step 6: Final answer
    x = 34,253.83

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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.