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Finding the Fourth Proportional to 77,886, 116,848.44 and 22,482

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Solution

The fourth proportional to 77,886, 116,848.44 and 22,482 is: 33,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886 : 116,848.44 = 22,482 : x
  2. Step 2: Convert to fraction form
    77,886/116,848.44 = 22,482/x
  3. Step 3: Cross multiply
    77,886x = 116,848.44 × 22,482
  4. Step 4: Simplify right side
    77,886x = 2,626,986,628.08
  5. Step 5: Solve for x
    x = 2,626,986,628.08/77,886
  6. Step 6: Final answer
    x = 33,728.61

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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.