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Finding the Fourth Proportional to 38,497.65, 53,127.02 and 21,502.09

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Solution

The fourth proportional to 38,497.65, 53,127.02 and 21,502.09 is: 29,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.65 : 53,127.02 = 21,502.09 : x
  2. Step 2: Convert to fraction form
    38,497.65/53,127.02 = 21,502.09/x
  3. Step 3: Cross multiply
    38,497.65x = 53,127.02 × 21,502.09
  4. Step 4: Simplify right side
    38,497.65x = 1,142,341,965.47
  5. Step 5: Solve for x
    x = 1,142,341,965.47/38,497.65
  6. Step 6: Final answer
    x = 29,673.03

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Why These Related Problems?

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