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Finding the Fourth Proportional to 41,639.10, 57,461.49 and 22,776

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Solution

The fourth proportional to 41,639.10, 57,461.49 and 22,776 is: 31,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,639.10 : 57,461.49 = 22,776 : x
  2. Step 2: Convert to fraction form
    41,639.10/57,461.49 = 22,776/x
  3. Step 3: Cross multiply
    41,639.10x = 57,461.49 × 22,776
  4. Step 4: Simplify right side
    41,639.10x = 1,308,742,896.24
  5. Step 5: Solve for x
    x = 1,308,742,896.24/41,639.10
  6. Step 6: Final answer
    x = 31,430.62

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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.