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Finding the Fourth Proportional to 98,846.38, 148,288.20 and 39,686.68

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Solution

The fourth proportional to 98,846.38, 148,288.20 and 39,686.68 is: 59,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846.38 : 148,288.20 = 39,686.68 : x
  2. Step 2: Convert to fraction form
    98,846.38/148,288.20 = 39,686.68/x
  3. Step 3: Cross multiply
    98,846.38x = 148,288.20 × 39,686.68
  4. Step 4: Simplify right side
    98,846.38x = 5,885,066,341.18
  5. Step 5: Solve for x
    x = 5,885,066,341.18/98,846.38
  6. Step 6: Final answer
    x = 59,537.50

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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.