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Finding the Fourth Proportional to 62,078.86, 85,666.17 and 33,784.48

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Solution

The fourth proportional to 62,078.86, 85,666.17 and 33,784.48 is: 46,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,078.86 : 85,666.17 = 33,784.48 : x
  2. Step 2: Convert to fraction form
    62,078.86/85,666.17 = 33,784.48/x
  3. Step 3: Cross multiply
    62,078.86x = 85,666.17 × 33,784.48
  4. Step 4: Simplify right side
    62,078.86x = 2,894,187,007.04
  5. Step 5: Solve for x
    x = 2,894,187,007.04/62,078.86
  6. Step 6: Final answer
    x = 46,621.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.