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Finding the Fourth Proportional to 47,699.22, 65,825.19 and 29,804.61

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Solution

The fourth proportional to 47,699.22, 65,825.19 and 29,804.61 is: 41,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699.22 : 65,825.19 = 29,804.61 : x
  2. Step 2: Convert to fraction form
    47,699.22/65,825.19 = 29,804.61/x
  3. Step 3: Cross multiply
    47,699.22x = 65,825.19 × 29,804.61
  4. Step 4: Simplify right side
    47,699.22x = 1,961,894,116.13
  5. Step 5: Solve for x
    x = 1,961,894,116.13/47,699.22
  6. Step 6: Final answer
    x = 41,130.53

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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.