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Finding the Fourth Proportional to 46,404.88, 64,055.33 and 27,542

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Solution

The fourth proportional to 46,404.88, 64,055.33 and 27,542 is: 38,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,404.88 : 64,055.33 = 27,542 : x
  2. Step 2: Convert to fraction form
    46,404.88/64,055.33 = 27,542/x
  3. Step 3: Cross multiply
    46,404.88x = 64,055.33 × 27,542
  4. Step 4: Simplify right side
    46,404.88x = 1,764,211,898.86
  5. Step 5: Solve for x
    x = 1,764,211,898.86/46,404.88
  6. Step 6: Final answer
    x = 38,017.81

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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.