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Finding the Fourth Proportional to 64,220.56, 96,335.16 and 24,778

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Solution

The fourth proportional to 64,220.56, 96,335.16 and 24,778 is: 37,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,220.56 : 96,335.16 = 24,778 : x
  2. Step 2: Convert to fraction form
    64,220.56/96,335.16 = 24,778/x
  3. Step 3: Cross multiply
    64,220.56x = 96,335.16 × 24,778
  4. Step 4: Simplify right side
    64,220.56x = 2,386,992,594.48
  5. Step 5: Solve for x
    x = 2,386,992,594.48/64,220.56
  6. Step 6: Final answer
    x = 37,168.67

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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.