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Finding the Fourth Proportional to 38,187.12, 52,703.04 and 21,420

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Solution

The fourth proportional to 38,187.12, 52,703.04 and 21,420 is: 29,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,187.12 : 52,703.04 = 21,420 : x
  2. Step 2: Convert to fraction form
    38,187.12/52,703.04 = 21,420/x
  3. Step 3: Cross multiply
    38,187.12x = 52,703.04 × 21,420
  4. Step 4: Simplify right side
    38,187.12x = 1,128,899,116.80
  5. Step 5: Solve for x
    x = 1,128,899,116.80/38,187.12
  6. Step 6: Final answer
    x = 29,562.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.