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Finding the Fourth Proportional to 65,693.58, 98,542.53 and 18,946.86

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Solution

The fourth proportional to 65,693.58, 98,542.53 and 18,946.86 is: 28,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.58 : 98,542.53 = 18,946.86 : x
  2. Step 2: Convert to fraction form
    65,693.58/98,542.53 = 18,946.86/x
  3. Step 3: Cross multiply
    65,693.58x = 98,542.53 × 18,946.86
  4. Step 4: Simplify right side
    65,693.58x = 1,867,071,519.96
  5. Step 5: Solve for x
    x = 1,867,071,519.96/65,693.58
  6. Step 6: Final answer
    x = 28,420.91

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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.