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Finding the Fourth Proportional to 35,876.46, 53,814.71 and 12,486.50

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Solution

The fourth proportional to 35,876.46, 53,814.71 and 12,486.50 is: 18,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.46 : 53,814.71 = 12,486.50 : x
  2. Step 2: Convert to fraction form
    35,876.46/53,814.71 = 12,486.50/x
  3. Step 3: Cross multiply
    35,876.46x = 53,814.71 × 12,486.50
  4. Step 4: Simplify right side
    35,876.46x = 671,957,376.42
  5. Step 5: Solve for x
    x = 671,957,376.42/35,876.46
  6. Step 6: Final answer
    x = 18,729.76

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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.