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Finding the Fourth Proportional to 64,478.42, 96,701.22 and 25,014

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Solution

The fourth proportional to 64,478.42, 96,701.22 and 25,014 is: 37,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,478.42 : 96,701.22 = 25,014 : x
  2. Step 2: Convert to fraction form
    64,478.42/96,701.22 = 25,014/x
  3. Step 3: Cross multiply
    64,478.42x = 96,701.22 × 25,014
  4. Step 4: Simplify right side
    64,478.42x = 2,418,884,317.08
  5. Step 5: Solve for x
    x = 2,418,884,317.08/64,478.42
  6. Step 6: Final answer
    x = 37,514.64

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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.