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Finding the Fourth Proportional to 77,730, 116,614.68 and 22,326

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Solution

The fourth proportional to 77,730, 116,614.68 and 22,326 is: 33,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730 : 116,614.68 = 22,326 : x
  2. Step 2: Convert to fraction form
    77,730/116,614.68 = 22,326/x
  3. Step 3: Cross multiply
    77,730x = 116,614.68 × 22,326
  4. Step 4: Simplify right side
    77,730x = 2,603,539,345.68
  5. Step 5: Solve for x
    x = 2,603,539,345.68/77,730
  6. Step 6: Final answer
    x = 33,494.65

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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.