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Finding the Fourth Proportional to 34,585.22, 47,731.19 and 21,165.41

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Solution

The fourth proportional to 34,585.22, 47,731.19 and 21,165.41 is: 29,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,585.22 : 47,731.19 = 21,165.41 : x
  2. Step 2: Convert to fraction form
    34,585.22/47,731.19 = 21,165.41/x
  3. Step 3: Cross multiply
    34,585.22x = 47,731.19 × 21,165.41
  4. Step 4: Simplify right side
    34,585.22x = 1,010,249,861.65
  5. Step 5: Solve for x
    x = 1,010,249,861.65/34,585.22
  6. Step 6: Final answer
    x = 29,210.45

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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.