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Finding the Fourth Proportional to 32,864.86, 49,297.24 and 7,904.89

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Solution

The fourth proportional to 32,864.86, 49,297.24 and 7,904.89 is: 11,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864.86 : 49,297.24 = 7,904.89 : x
  2. Step 2: Convert to fraction form
    32,864.86/49,297.24 = 7,904.89/x
  3. Step 3: Cross multiply
    32,864.86x = 49,297.24 × 7,904.89
  4. Step 4: Simplify right side
    32,864.86x = 389,689,259.50
  5. Step 5: Solve for x
    x = 389,689,259.50/32,864.86
  6. Step 6: Final answer
    x = 11,857.32

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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.