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Finding the Fourth Proportional to 34,552.50, 47,682.45 and 20,405.58

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Solution

The fourth proportional to 34,552.50, 47,682.45 and 20,405.58 is: 28,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552.50 : 47,682.45 = 20,405.58 : x
  2. Step 2: Convert to fraction form
    34,552.50/47,682.45 = 20,405.58/x
  3. Step 3: Cross multiply
    34,552.50x = 47,682.45 × 20,405.58
  4. Step 4: Simplify right side
    34,552.50x = 972,988,048.07
  5. Step 5: Solve for x
    x = 972,988,048.07/34,552.50
  6. Step 6: Final answer
    x = 28,159.70

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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.