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Finding the Fourth Proportional to 61,148.09, 84,270.11 and 47,698.04

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Solution

The fourth proportional to 61,148.09, 84,270.11 and 47,698.04 is: 65,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,148.09 : 84,270.11 = 47,698.04 : x
  2. Step 2: Convert to fraction form
    61,148.09/84,270.11 = 47,698.04/x
  3. Step 3: Cross multiply
    61,148.09x = 84,270.11 × 47,698.04
  4. Step 4: Simplify right side
    61,148.09x = 4,019,519,049.77
  5. Step 5: Solve for x
    x = 4,019,519,049.77/61,148.09
  6. Step 6: Final answer
    x = 65,734.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.