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Finding the Fourth Proportional to 34,204.46, 47,202.93 and 21,458.16

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Solution

The fourth proportional to 34,204.46, 47,202.93 and 21,458.16 is: 29,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.46 : 47,202.93 = 21,458.16 : x
  2. Step 2: Convert to fraction form
    34,204.46/47,202.93 = 21,458.16/x
  3. Step 3: Cross multiply
    34,204.46x = 47,202.93 × 21,458.16
  4. Step 4: Simplify right side
    34,204.46x = 1,012,888,024.41
  5. Step 5: Solve for x
    x = 1,012,888,024.41/34,204.46
  6. Step 6: Final answer
    x = 29,612.75

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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.