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Finding the Fourth Proportional to 32,957.25, 49,437.24 and 9,583.68

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Solution

The fourth proportional to 32,957.25, 49,437.24 and 9,583.68 is: 14,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.25 : 49,437.24 = 9,583.68 : x
  2. Step 2: Convert to fraction form
    32,957.25/49,437.24 = 9,583.68/x
  3. Step 3: Cross multiply
    32,957.25x = 49,437.24 × 9,583.68
  4. Step 4: Simplify right side
    32,957.25x = 473,790,688.24
  5. Step 5: Solve for x
    x = 473,790,688.24/32,957.25
  6. Step 6: Final answer
    x = 14,375.92

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Why These Related Problems?

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