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Finding the Fourth Proportional to 35,671.96, 53,495.30 and 10,366.20

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Solution

The fourth proportional to 35,671.96, 53,495.30 and 10,366.20 is: 15,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.96 : 53,495.30 = 10,366.20 : x
  2. Step 2: Convert to fraction form
    35,671.96/53,495.30 = 10,366.20/x
  3. Step 3: Cross multiply
    35,671.96x = 53,495.30 × 10,366.20
  4. Step 4: Simplify right side
    35,671.96x = 554,542,978.86
  5. Step 5: Solve for x
    x = 554,542,978.86/35,671.96
  6. Step 6: Final answer
    x = 15,545.63

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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.