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Finding the Fourth Proportional to 98,675.42, 147,996.92 and 42,500.50

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Solution

The fourth proportional to 98,675.42, 147,996.92 and 42,500.50 is: 63,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,675.42 : 147,996.92 = 42,500.50 : x
  2. Step 2: Convert to fraction form
    98,675.42/147,996.92 = 42,500.50/x
  3. Step 3: Cross multiply
    98,675.42x = 147,996.92 × 42,500.50
  4. Step 4: Simplify right side
    98,675.42x = 6,289,942,834.72
  5. Step 5: Solve for x
    x = 6,289,942,834.72/98,675.42
  6. Step 6: Final answer
    x = 63,743.77

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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.