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Finding the Fourth Proportional to 32,935.36, 49,403.04 and 12,154

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Solution

The fourth proportional to 32,935.36, 49,403.04 and 12,154 is: 18,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,935.36 : 49,403.04 = 12,154 : x
  2. Step 2: Convert to fraction form
    32,935.36/49,403.04 = 12,154/x
  3. Step 3: Cross multiply
    32,935.36x = 49,403.04 × 12,154
  4. Step 4: Simplify right side
    32,935.36x = 600,444,548.16
  5. Step 5: Solve for x
    x = 600,444,548.16/32,935.36
  6. Step 6: Final answer
    x = 18,231

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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.