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Finding the Fourth Proportional to 49,315, 68,054.70 and 26,959

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Solution

The fourth proportional to 49,315, 68,054.70 and 26,959 is: 37,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,315 : 68,054.70 = 26,959 : x
  2. Step 2: Convert to fraction form
    49,315/68,054.70 = 26,959/x
  3. Step 3: Cross multiply
    49,315x = 68,054.70 × 26,959
  4. Step 4: Simplify right side
    49,315x = 1,834,686,657.30
  5. Step 5: Solve for x
    x = 1,834,686,657.30/49,315
  6. Step 6: Final answer
    x = 37,203.42

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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.