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Finding the Fourth Proportional to 32,606.07, 48,890.74 and 10,414.23

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Solution

The fourth proportional to 32,606.07, 48,890.74 and 10,414.23 is: 15,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606.07 : 48,890.74 = 10,414.23 : x
  2. Step 2: Convert to fraction form
    32,606.07/48,890.74 = 10,414.23/x
  3. Step 3: Cross multiply
    32,606.07x = 48,890.74 × 10,414.23
  4. Step 4: Simplify right side
    32,606.07x = 509,159,411.23
  5. Step 5: Solve for x
    x = 509,159,411.23/32,606.07
  6. Step 6: Final answer
    x = 15,615.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.