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Finding the Fourth Proportional to 56,934.84, 78,396.16 and 51,594.92

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Solution

The fourth proportional to 56,934.84, 78,396.16 and 51,594.92 is: 71,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934.84 : 78,396.16 = 51,594.92 : x
  2. Step 2: Convert to fraction form
    56,934.84/78,396.16 = 51,594.92/x
  3. Step 3: Cross multiply
    56,934.84x = 78,396.16 × 51,594.92
  4. Step 4: Simplify right side
    56,934.84x = 4,044,843,603.51
  5. Step 5: Solve for x
    x = 4,044,843,603.51/56,934.84
  6. Step 6: Final answer
    x = 71,043.38

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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.