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Finding the Fourth Proportional to 77,565.65, 116,348.52 and 22,161.65

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Solution

The fourth proportional to 77,565.65, 116,348.52 and 22,161.65 is: 33,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,565.65 : 116,348.52 = 22,161.65 : x
  2. Step 2: Convert to fraction form
    77,565.65/116,348.52 = 22,161.65/x
  3. Step 3: Cross multiply
    77,565.65x = 116,348.52 × 22,161.65
  4. Step 4: Simplify right side
    77,565.65x = 2,578,475,178.26
  5. Step 5: Solve for x
    x = 2,578,475,178.26/77,565.65
  6. Step 6: Final answer
    x = 33,242.49

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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.