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Finding the Fourth Proportional to 51,878.61, 77,715.45 and 26,934.93

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Solution

The fourth proportional to 51,878.61, 77,715.45 and 26,934.93 is: 40,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,878.61 : 77,715.45 = 26,934.93 : x
  2. Step 2: Convert to fraction form
    51,878.61/77,715.45 = 26,934.93/x
  3. Step 3: Cross multiply
    51,878.61x = 77,715.45 × 26,934.93
  4. Step 4: Simplify right side
    51,878.61x = 2,093,260,205.67
  5. Step 5: Solve for x
    x = 2,093,260,205.67/51,878.61
  6. Step 6: Final answer
    x = 40,349.20

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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.