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Finding the Fourth Proportional to 77,358.93, 116,044.34 and 32,985.92

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Solution

The fourth proportional to 77,358.93, 116,044.34 and 32,985.92 is: 49,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358.93 : 116,044.34 = 32,985.92 : x
  2. Step 2: Convert to fraction form
    77,358.93/116,044.34 = 32,985.92/x
  3. Step 3: Cross multiply
    77,358.93x = 116,044.34 × 32,985.92
  4. Step 4: Simplify right side
    77,358.93x = 3,827,828,570.54
  5. Step 5: Solve for x
    x = 3,827,828,570.54/77,358.93
  6. Step 6: Final answer
    x = 49,481.41

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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.