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Finding the Fourth Proportional to 98,246.48, 147,246.42 and 42,020.48

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Solution

The fourth proportional to 98,246.48, 147,246.42 and 42,020.48 is: 62,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246.48 : 147,246.42 = 42,020.48 : x
  2. Step 2: Convert to fraction form
    98,246.48/147,246.42 = 42,020.48/x
  3. Step 3: Cross multiply
    98,246.48x = 147,246.42 × 42,020.48
  4. Step 4: Simplify right side
    98,246.48x = 6,187,365,246.68
  5. Step 5: Solve for x
    x = 6,187,365,246.68/98,246.48
  6. Step 6: Final answer
    x = 62,977.98

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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.