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Finding the Fourth Proportional to 96,501.47, 144,762.87 and 33,314.42

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Solution

The fourth proportional to 96,501.47, 144,762.87 and 33,314.42 is: 49,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,501.47 : 144,762.87 = 33,314.42 : x
  2. Step 2: Convert to fraction form
    96,501.47/144,762.87 = 33,314.42/x
  3. Step 3: Cross multiply
    96,501.47x = 144,762.87 × 33,314.42
  4. Step 4: Simplify right side
    96,501.47x = 4,822,690,327.77
  5. Step 5: Solve for x
    x = 4,822,690,327.77/96,501.47
  6. Step 6: Final answer
    x = 49,975.31

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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.