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Finding the Fourth Proportional to 53,109, 79,663.49 and 19,831.66

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Solution

The fourth proportional to 53,109, 79,663.49 and 19,831.66 is: 29,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,109 : 79,663.49 = 19,831.66 : x
  2. Step 2: Convert to fraction form
    53,109/79,663.49 = 19,831.66/x
  3. Step 3: Cross multiply
    53,109x = 79,663.49 × 19,831.66
  4. Step 4: Simplify right side
    53,109x = 1,579,859,248.09
  5. Step 5: Solve for x
    x = 1,579,859,248.09/53,109
  6. Step 6: Final answer
    x = 29,747.49

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