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Finding the Fourth Proportional to 32,581, 48,871.98 and 7,957

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Solution

The fourth proportional to 32,581, 48,871.98 and 7,957 is: 11,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581 : 48,871.98 = 7,957 : x
  2. Step 2: Convert to fraction form
    32,581/48,871.98 = 7,957/x
  3. Step 3: Cross multiply
    32,581x = 48,871.98 × 7,957
  4. Step 4: Simplify right side
    32,581x = 388,874,344.86
  5. Step 5: Solve for x
    x = 388,874,344.86/32,581
  6. Step 6: Final answer
    x = 11,935.62

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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.