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Finding the Fourth Proportional to 64,048.92, 96,074.54 and 19,676.07

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Solution

The fourth proportional to 64,048.92, 96,074.54 and 19,676.07 is: 29,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,048.92 : 96,074.54 = 19,676.07 : x
  2. Step 2: Convert to fraction form
    64,048.92/96,074.54 = 19,676.07/x
  3. Step 3: Cross multiply
    64,048.92x = 96,074.54 × 19,676.07
  4. Step 4: Simplify right side
    64,048.92x = 1,890,369,275.88
  5. Step 5: Solve for x
    x = 1,890,369,275.88/64,048.92
  6. Step 6: Final answer
    x = 29,514.46

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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.