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Finding the Fourth Proportional to 98,814, 148,221.72 and 24,942

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Solution

The fourth proportional to 98,814, 148,221.72 and 24,942 is: 37,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,814 : 148,221.72 = 24,942 : x
  2. Step 2: Convert to fraction form
    98,814/148,221.72 = 24,942/x
  3. Step 3: Cross multiply
    98,814x = 148,221.72 × 24,942
  4. Step 4: Simplify right side
    98,814x = 3,696,946,140.24
  5. Step 5: Solve for x
    x = 3,696,946,140.24/98,814
  6. Step 6: Final answer
    x = 37,413.18

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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.