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Finding the Fourth Proportional to 50,897.42, 76,346.13 and 27,569.42

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Solution

The fourth proportional to 50,897.42, 76,346.13 and 27,569.42 is: 41,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,897.42 : 76,346.13 = 27,569.42 : x
  2. Step 2: Convert to fraction form
    50,897.42/76,346.13 = 27,569.42/x
  3. Step 3: Cross multiply
    50,897.42x = 76,346.13 × 27,569.42
  4. Step 4: Simplify right side
    50,897.42x = 2,104,818,746.02
  5. Step 5: Solve for x
    x = 2,104,818,746.02/50,897.42
  6. Step 6: Final answer
    x = 41,354.13

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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.