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Finding the Fourth Proportional to 38,502.96, 53,133.51 and 21,507.45

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Solution

The fourth proportional to 38,502.96, 53,133.51 and 21,507.45 is: 29,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.96 : 53,133.51 = 21,507.45 : x
  2. Step 2: Convert to fraction form
    38,502.96/53,133.51 = 21,507.45/x
  3. Step 3: Cross multiply
    38,502.96x = 53,133.51 × 21,507.45
  4. Step 4: Simplify right side
    38,502.96x = 1,142,766,309.65
  5. Step 5: Solve for x
    x = 1,142,766,309.65/38,502.96
  6. Step 6: Final answer
    x = 29,679.96

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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.