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Finding the Fourth Proportional to 77,333.59, 115,985.76 and 27,411.67

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Solution

The fourth proportional to 77,333.59, 115,985.76 and 27,411.67 is: 41,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333.59 : 115,985.76 = 27,411.67 : x
  2. Step 2: Convert to fraction form
    77,333.59/115,985.76 = 27,411.67/x
  3. Step 3: Cross multiply
    77,333.59x = 115,985.76 × 27,411.67
  4. Step 4: Simplify right side
    77,333.59x = 3,179,363,377.82
  5. Step 5: Solve for x
    x = 3,179,363,377.82/77,333.59
  6. Step 6: Final answer
    x = 41,112.32

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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.