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Finding the Fourth Proportional to 46,460.86, 69,691.31 and 11,400.52

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Solution

The fourth proportional to 46,460.86, 69,691.31 and 11,400.52 is: 17,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.86 : 69,691.31 = 11,400.52 : x
  2. Step 2: Convert to fraction form
    46,460.86/69,691.31 = 11,400.52/x
  3. Step 3: Cross multiply
    46,460.86x = 69,691.31 × 11,400.52
  4. Step 4: Simplify right side
    46,460.86x = 794,516,768.02
  5. Step 5: Solve for x
    x = 794,516,768.02/46,460.86
  6. Step 6: Final answer
    x = 17,100.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.