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Finding the Fourth Proportional to 39,415.92, 59,072.54 and 16,015

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Solution

The fourth proportional to 39,415.92, 59,072.54 and 16,015 is: 24,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,415.92 : 59,072.54 = 16,015 : x
  2. Step 2: Convert to fraction form
    39,415.92/59,072.54 = 16,015/x
  3. Step 3: Cross multiply
    39,415.92x = 59,072.54 × 16,015
  4. Step 4: Simplify right side
    39,415.92x = 946,046,728.10
  5. Step 5: Solve for x
    x = 946,046,728.10/39,415.92
  6. Step 6: Final answer
    x = 24,001.64

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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.