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Finding the Fourth Proportional to 77,782.46, 116,697.89 and 27,862.98

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Solution

The fourth proportional to 77,782.46, 116,697.89 and 27,862.98 is: 41,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.46 : 116,697.89 = 27,862.98 : x
  2. Step 2: Convert to fraction form
    77,782.46/116,697.89 = 27,862.98/x
  3. Step 3: Cross multiply
    77,782.46x = 116,697.89 × 27,862.98
  4. Step 4: Simplify right side
    77,782.46x = 3,251,551,044.77
  5. Step 5: Solve for x
    x = 3,251,551,044.77/77,782.46
  6. Step 6: Final answer
    x = 41,803.14

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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.