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Finding the Fourth Proportional to 77,352.52, 116,036.88 and 32,983.96

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Solution

The fourth proportional to 77,352.52, 116,036.88 and 32,983.96 is: 49,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352.52 : 116,036.88 = 32,983.96 : x
  2. Step 2: Convert to fraction form
    77,352.52/116,036.88 = 32,983.96/x
  3. Step 3: Cross multiply
    77,352.52x = 116,036.88 × 32,983.96
  4. Step 4: Simplify right side
    77,352.52x = 3,827,355,808.44
  5. Step 5: Solve for x
    x = 3,827,355,808.44/77,352.52
  6. Step 6: Final answer
    x = 49,479.39

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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.