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Finding the Fourth Proportional to 36,553.86, 54,823.50 and 10,258.86

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Solution

The fourth proportional to 36,553.86, 54,823.50 and 10,258.86 is: 15,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,553.86 : 54,823.50 = 10,258.86 : x
  2. Step 2: Convert to fraction form
    36,553.86/54,823.50 = 10,258.86/x
  3. Step 3: Cross multiply
    36,553.86x = 54,823.50 × 10,258.86
  4. Step 4: Simplify right side
    36,553.86x = 562,426,611.21
  5. Step 5: Solve for x
    x = 562,426,611.21/36,553.86
  6. Step 6: Final answer
    x = 15,386.24

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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.