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Finding the Fourth Proportional to 46,089.41, 69,134.17 and 12,809.48

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Solution

The fourth proportional to 46,089.41, 69,134.17 and 12,809.48 is: 19,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089.41 : 69,134.17 = 12,809.48 : x
  2. Step 2: Convert to fraction form
    46,089.41/69,134.17 = 12,809.48/x
  3. Step 3: Cross multiply
    46,089.41x = 69,134.17 × 12,809.48
  4. Step 4: Simplify right side
    46,089.41x = 885,572,908.74
  5. Step 5: Solve for x
    x = 885,572,908.74/46,089.41
  6. Step 6: Final answer
    x = 19,214.24

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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.