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Finding the Fourth Proportional to 32,497.37, 48,731.46 and 14,957.63

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Solution

The fourth proportional to 32,497.37, 48,731.46 and 14,957.63 is: 22,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.37 : 48,731.46 = 14,957.63 : x
  2. Step 2: Convert to fraction form
    32,497.37/48,731.46 = 14,957.63/x
  3. Step 3: Cross multiply
    32,497.37x = 48,731.46 × 14,957.63
  4. Step 4: Simplify right side
    32,497.37x = 728,906,904.38
  5. Step 5: Solve for x
    x = 728,906,904.38/32,497.37
  6. Step 6: Final answer
    x = 22,429.72

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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.