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Finding the Fourth Proportional to 77,670.68, 116,486.82 and 33,292.40

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Solution

The fourth proportional to 77,670.68, 116,486.82 and 33,292.40 is: 49,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670.68 : 116,486.82 = 33,292.40 : x
  2. Step 2: Convert to fraction form
    77,670.68/116,486.82 = 33,292.40/x
  3. Step 3: Cross multiply
    77,670.68x = 116,486.82 × 33,292.40
  4. Step 4: Simplify right side
    77,670.68x = 3,878,125,806.17
  5. Step 5: Solve for x
    x = 3,878,125,806.17/77,670.68
  6. Step 6: Final answer
    x = 49,930.37

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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.