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Finding the Fourth Proportional to 36,088.64, 49,802.38 and 20,173.07

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Solution

The fourth proportional to 36,088.64, 49,802.38 and 20,173.07 is: 27,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,088.64 : 49,802.38 = 20,173.07 : x
  2. Step 2: Convert to fraction form
    36,088.64/49,802.38 = 20,173.07/x
  3. Step 3: Cross multiply
    36,088.64x = 49,802.38 × 20,173.07
  4. Step 4: Simplify right side
    36,088.64x = 1,004,666,897.91
  5. Step 5: Solve for x
    x = 1,004,666,897.91/36,088.64
  6. Step 6: Final answer
    x = 27,838.87

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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.