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Finding the Fourth Proportional to 98,346.86, 147,484.12 and 35,149.91

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Solution

The fourth proportional to 98,346.86, 147,484.12 and 35,149.91 is: 52,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,346.86 : 147,484.12 = 35,149.91 : x
  2. Step 2: Convert to fraction form
    98,346.86/147,484.12 = 35,149.91/x
  3. Step 3: Cross multiply
    98,346.86x = 147,484.12 × 35,149.91
  4. Step 4: Simplify right side
    98,346.86x = 5,184,053,544.43
  5. Step 5: Solve for x
    x = 5,184,053,544.43/98,346.86
  6. Step 6: Final answer
    x = 52,711.94

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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.