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Finding the Fourth Proportional to 64,242.96, 96,338.89 and 24,774.90

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Solution

The fourth proportional to 64,242.96, 96,338.89 and 24,774.90 is: 37,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,242.96 : 96,338.89 = 24,774.90 : x
  2. Step 2: Convert to fraction form
    64,242.96/96,338.89 = 24,774.90/x
  3. Step 3: Cross multiply
    64,242.96x = 96,338.89 × 24,774.90
  4. Step 4: Simplify right side
    64,242.96x = 2,386,786,365.86
  5. Step 5: Solve for x
    x = 2,386,786,365.86/64,242.96
  6. Step 6: Final answer
    x = 37,152.50

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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.