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Finding the Fourth Proportional to 32,686.50, 49,037.04 and 11,910

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Solution

The fourth proportional to 32,686.50, 49,037.04 and 11,910 is: 17,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.50 : 49,037.04 = 11,910 : x
  2. Step 2: Convert to fraction form
    32,686.50/49,037.04 = 11,910/x
  3. Step 3: Cross multiply
    32,686.50x = 49,037.04 × 11,910
  4. Step 4: Simplify right side
    32,686.50x = 584,031,146.40
  5. Step 5: Solve for x
    x = 584,031,146.40/32,686.50
  6. Step 6: Final answer
    x = 17,867.66

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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.