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Finding the Fourth Proportional to 46,642.41, 69,943.03 and 13,354.92

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Solution

The fourth proportional to 46,642.41, 69,943.03 and 13,354.92 is: 20,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.41 : 69,943.03 = 13,354.92 : x
  2. Step 2: Convert to fraction form
    46,642.41/69,943.03 = 13,354.92/x
  3. Step 3: Cross multiply
    46,642.41x = 69,943.03 × 13,354.92
  4. Step 4: Simplify right side
    46,642.41x = 934,083,536.82
  5. Step 5: Solve for x
    x = 934,083,536.82/46,642.41
  6. Step 6: Final answer
    x = 20,026.49

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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.