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Finding the Fourth Proportional to 98,543.67, 147,777.16 and 31,967.70

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Solution

The fourth proportional to 98,543.67, 147,777.16 and 31,967.70 is: 47,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.67 : 147,777.16 = 31,967.70 : x
  2. Step 2: Convert to fraction form
    98,543.67/147,777.16 = 31,967.70/x
  3. Step 3: Cross multiply
    98,543.67x = 147,777.16 × 31,967.70
  4. Step 4: Simplify right side
    98,543.67x = 4,724,095,917.73
  5. Step 5: Solve for x
    x = 4,724,095,917.73/98,543.67
  6. Step 6: Final answer
    x = 47,939.11

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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.