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Finding the Fourth Proportional to 49,312, 68,051.64 and 26,956

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Solution

The fourth proportional to 49,312, 68,051.64 and 26,956 is: 37,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312 : 68,051.64 = 26,956 : x
  2. Step 2: Convert to fraction form
    49,312/68,051.64 = 26,956/x
  3. Step 3: Cross multiply
    49,312x = 68,051.64 × 26,956
  4. Step 4: Simplify right side
    49,312x = 1,834,400,007.84
  5. Step 5: Solve for x
    x = 1,834,400,007.84/49,312
  6. Step 6: Final answer
    x = 37,199.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.