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Finding the Fourth Proportional to 77,882.60, 116,651.10 and 31,111.40

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Solution

The fourth proportional to 77,882.60, 116,651.10 and 31,111.40 is: 46,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.60 : 116,651.10 = 31,111.40 : x
  2. Step 2: Convert to fraction form
    77,882.60/116,651.10 = 31,111.40/x
  3. Step 3: Cross multiply
    77,882.60x = 116,651.10 × 31,111.40
  4. Step 4: Simplify right side
    77,882.60x = 3,629,179,032.54
  5. Step 5: Solve for x
    x = 3,629,179,032.54/77,882.60
  6. Step 6: Final answer
    x = 46,598.07

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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.