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Finding the Fourth Proportional to 32,957.76, 49,438.80 and 12,174.24

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Solution

The fourth proportional to 32,957.76, 49,438.80 and 12,174.24 is: 18,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.76 : 49,438.80 = 12,174.24 : x
  2. Step 2: Convert to fraction form
    32,957.76/49,438.80 = 12,174.24/x
  3. Step 3: Cross multiply
    32,957.76x = 49,438.80 × 12,174.24
  4. Step 4: Simplify right side
    32,957.76x = 601,879,816.51
  5. Step 5: Solve for x
    x = 601,879,816.51/32,957.76
  6. Step 6: Final answer
    x = 18,262.16

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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.