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Finding the Fourth Proportional to 50,641.92, 75,971.52 and 15,580.80

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Solution

The fourth proportional to 50,641.92, 75,971.52 and 15,580.80 is: 23,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.92 : 75,971.52 = 15,580.80 : x
  2. Step 2: Convert to fraction form
    50,641.92/75,971.52 = 15,580.80/x
  3. Step 3: Cross multiply
    50,641.92x = 75,971.52 × 15,580.80
  4. Step 4: Simplify right side
    50,641.92x = 1,183,697,058.82
  5. Step 5: Solve for x
    x = 1,183,697,058.82/50,641.92
  6. Step 6: Final answer
    x = 23,373.86

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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.