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Finding the Fourth Proportional to 98,410.83, 147,615.03 and 31,849.49

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Solution

The fourth proportional to 98,410.83, 147,615.03 and 31,849.49 is: 47,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,410.83 : 147,615.03 = 31,849.49 : x
  2. Step 2: Convert to fraction form
    98,410.83/147,615.03 = 31,849.49/x
  3. Step 3: Cross multiply
    98,410.83x = 147,615.03 × 31,849.49
  4. Step 4: Simplify right side
    98,410.83x = 4,701,462,683.76
  5. Step 5: Solve for x
    x = 4,701,462,683.76/98,410.83
  6. Step 6: Final answer
    x = 47,773.83

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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.