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Finding the Fourth Proportional to 32,973.26, 49,461.60 and 9,601.52

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Solution

The fourth proportional to 32,973.26, 49,461.60 and 9,601.52 is: 14,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.26 : 49,461.60 = 9,601.52 : x
  2. Step 2: Convert to fraction form
    32,973.26/49,461.60 = 9,601.52/x
  3. Step 3: Cross multiply
    32,973.26x = 49,461.60 × 9,601.52
  4. Step 4: Simplify right side
    32,973.26x = 474,906,541.63
  5. Step 5: Solve for x
    x = 474,906,541.63/32,973.26
  6. Step 6: Final answer
    x = 14,402.78

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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.