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Finding the Fourth Proportional to 45,420.66, 68,111.55 and 15,829.74

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Solution

The fourth proportional to 45,420.66, 68,111.55 and 15,829.74 is: 23,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420.66 : 68,111.55 = 15,829.74 : x
  2. Step 2: Convert to fraction form
    45,420.66/68,111.55 = 15,829.74/x
  3. Step 3: Cross multiply
    45,420.66x = 68,111.55 × 15,829.74
  4. Step 4: Simplify right side
    45,420.66x = 1,078,188,127.50
  5. Step 5: Solve for x
    x = 1,078,188,127.50/45,420.66
  6. Step 6: Final answer
    x = 23,737.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.