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Finding the Fourth Proportional to 50,492.01, 69,678.62 and 27,831

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Solution

The fourth proportional to 50,492.01, 69,678.62 and 27,831 is: 38,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.01 : 69,678.62 = 27,831 : x
  2. Step 2: Convert to fraction form
    50,492.01/69,678.62 = 27,831/x
  3. Step 3: Cross multiply
    50,492.01x = 69,678.62 × 27,831
  4. Step 4: Simplify right side
    50,492.01x = 1,939,225,534.07
  5. Step 5: Solve for x
    x = 1,939,225,534.07/50,492.01
  6. Step 6: Final answer
    x = 38,406.58

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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.