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Finding the Fourth Proportional to 64,148.44, 88,524.94 and 35,854.10

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Solution

The fourth proportional to 64,148.44, 88,524.94 and 35,854.10 is: 49,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,148.44 : 88,524.94 = 35,854.10 : x
  2. Step 2: Convert to fraction form
    64,148.44/88,524.94 = 35,854.10/x
  3. Step 3: Cross multiply
    64,148.44x = 88,524.94 × 35,854.10
  4. Step 4: Simplify right side
    64,148.44x = 3,173,982,051.25
  5. Step 5: Solve for x
    x = 3,173,982,051.25/64,148.44
  6. Step 6: Final answer
    x = 49,478.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.