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Finding the Fourth Proportional to 38,210.32, 57,305.76 and 14,824

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Solution

The fourth proportional to 38,210.32, 57,305.76 and 14,824 is: 22,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,210.32 : 57,305.76 = 14,824 : x
  2. Step 2: Convert to fraction form
    38,210.32/57,305.76 = 14,824/x
  3. Step 3: Cross multiply
    38,210.32x = 57,305.76 × 14,824
  4. Step 4: Simplify right side
    38,210.32x = 849,500,586.24
  5. Step 5: Solve for x
    x = 849,500,586.24/38,210.32
  6. Step 6: Final answer
    x = 22,232.23

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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.