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Finding the Fourth Proportional to 64,518.60, 96,632.10 and 38,274.60

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Solution

The fourth proportional to 64,518.60, 96,632.10 and 38,274.60 is: 57,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,518.60 : 96,632.10 = 38,274.60 : x
  2. Step 2: Convert to fraction form
    64,518.60/96,632.10 = 38,274.60/x
  3. Step 3: Cross multiply
    64,518.60x = 96,632.10 × 38,274.60
  4. Step 4: Simplify right side
    64,518.60x = 3,698,554,974.66
  5. Step 5: Solve for x
    x = 3,698,554,974.66/64,518.60
  6. Step 6: Final answer
    x = 57,325.41

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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.