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Finding the Fourth Proportional to 27,058.81, 40,582.06 and 13,010.07

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Solution

The fourth proportional to 27,058.81, 40,582.06 and 13,010.07 is: 19,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.81 : 40,582.06 = 13,010.07 : x
  2. Step 2: Convert to fraction form
    27,058.81/40,582.06 = 13,010.07/x
  3. Step 3: Cross multiply
    27,058.81x = 40,582.06 × 13,010.07
  4. Step 4: Simplify right side
    27,058.81x = 527,975,405.91
  5. Step 5: Solve for x
    x = 527,975,405.91/27,058.81
  6. Step 6: Final answer
    x = 19,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.