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Finding the Fourth Proportional to 38,502.84, 53,104.50 and 26,586.12

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Solution

The fourth proportional to 38,502.84, 53,104.50 and 26,586.12 is: 36,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.84 : 53,104.50 = 26,586.12 : x
  2. Step 2: Convert to fraction form
    38,502.84/53,104.50 = 26,586.12/x
  3. Step 3: Cross multiply
    38,502.84x = 53,104.50 × 26,586.12
  4. Step 4: Simplify right side
    38,502.84x = 1,411,842,609.54
  5. Step 5: Solve for x
    x = 1,411,842,609.54/38,502.84
  6. Step 6: Final answer
    x = 36,668.53

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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.