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Finding the Fourth Proportional to 47,707.12, 65,822.52 and 29,820.34

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Solution

The fourth proportional to 47,707.12, 65,822.52 and 29,820.34 is: 41,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,707.12 : 65,822.52 = 29,820.34 : x
  2. Step 2: Convert to fraction form
    47,707.12/65,822.52 = 29,820.34/x
  3. Step 3: Cross multiply
    47,707.12x = 65,822.52 × 29,820.34
  4. Step 4: Simplify right side
    47,707.12x = 1,962,849,926.06
  5. Step 5: Solve for x
    x = 1,962,849,926.06/47,707.12
  6. Step 6: Final answer
    x = 41,143.75

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