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Finding the Fourth Proportional to 98,543.86, 135,990.66 and 56,102.39

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Solution

The fourth proportional to 98,543.86, 135,990.66 and 56,102.39 is: 77,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.86 : 135,990.66 = 56,102.39 : x
  2. Step 2: Convert to fraction form
    98,543.86/135,990.66 = 56,102.39/x
  3. Step 3: Cross multiply
    98,543.86x = 135,990.66 × 56,102.39
  4. Step 4: Simplify right side
    98,543.86x = 7,629,401,383.65
  5. Step 5: Solve for x
    x = 7,629,401,383.65/98,543.86
  6. Step 6: Final answer
    x = 77,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.