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Finding the Fourth Proportional to 34,210.62, 47,211.42 and 21,464.34

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Solution

The fourth proportional to 34,210.62, 47,211.42 and 21,464.34 is: 29,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210.62 : 47,211.42 = 21,464.34 : x
  2. Step 2: Convert to fraction form
    34,210.62/47,211.42 = 21,464.34/x
  3. Step 3: Cross multiply
    34,210.62x = 47,211.42 × 21,464.34
  4. Step 4: Simplify right side
    34,210.62x = 1,013,361,970.76
  5. Step 5: Solve for x
    x = 1,013,361,970.76/34,210.62
  6. Step 6: Final answer
    x = 29,621.27

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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.