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Finding the Fourth Proportional to 30,476.30, 45,698.02 and 13,827.25

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Solution

The fourth proportional to 30,476.30, 45,698.02 and 13,827.25 is: 20,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.30 : 45,698.02 = 13,827.25 : x
  2. Step 2: Convert to fraction form
    30,476.30/45,698.02 = 13,827.25/x
  3. Step 3: Cross multiply
    30,476.30x = 45,698.02 × 13,827.25
  4. Step 4: Simplify right side
    30,476.30x = 631,877,947.05
  5. Step 5: Solve for x
    x = 631,877,947.05/30,476.30
  6. Step 6: Final answer
    x = 20,733.42

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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.