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Finding the Fourth Proportional to 38,484.64, 53,108.28 and 21,489.16

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Solution

The fourth proportional to 38,484.64, 53,108.28 and 21,489.16 is: 29,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.64 : 53,108.28 = 21,489.16 : x
  2. Step 2: Convert to fraction form
    38,484.64/53,108.28 = 21,489.16/x
  3. Step 3: Cross multiply
    38,484.64x = 53,108.28 × 21,489.16
  4. Step 4: Simplify right side
    38,484.64x = 1,141,252,326.24
  5. Step 5: Solve for x
    x = 1,141,252,326.24/38,484.64
  6. Step 6: Final answer
    x = 29,654.75

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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.