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Finding the Fourth Proportional to 30,270.78, 45,406.09 and 14,427.79

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Solution

The fourth proportional to 30,270.78, 45,406.09 and 14,427.79 is: 21,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.78 : 45,406.09 = 14,427.79 : x
  2. Step 2: Convert to fraction form
    30,270.78/45,406.09 = 14,427.79/x
  3. Step 3: Cross multiply
    30,270.78x = 45,406.09 × 14,427.79
  4. Step 4: Simplify right side
    30,270.78x = 655,109,531.24
  5. Step 5: Solve for x
    x = 655,109,531.24/30,270.78
  6. Step 6: Final answer
    x = 21,641.65

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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.