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Finding the Fourth Proportional to 38,508.65, 53,140.03 and 21,509.51

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Solution

The fourth proportional to 38,508.65, 53,140.03 and 21,509.51 is: 29,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.65 : 53,140.03 = 21,509.51 : x
  2. Step 2: Convert to fraction form
    38,508.65/53,140.03 = 21,509.51/x
  3. Step 3: Cross multiply
    38,508.65x = 53,140.03 × 21,509.51
  4. Step 4: Simplify right side
    38,508.65x = 1,143,016,006.69
  5. Step 5: Solve for x
    x = 1,143,016,006.69/38,508.65
  6. Step 6: Final answer
    x = 29,682.06

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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.