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Finding the Fourth Proportional to 78,124.84, 107,822.82 and 44,593

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Solution

The fourth proportional to 78,124.84, 107,822.82 and 44,593 is: 61,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.84 : 107,822.82 = 44,593 : x
  2. Step 2: Convert to fraction form
    78,124.84/107,822.82 = 44,593/x
  3. Step 3: Cross multiply
    78,124.84x = 107,822.82 × 44,593
  4. Step 4: Simplify right side
    78,124.84x = 4,808,143,012.26
  5. Step 5: Solve for x
    x = 4,808,143,012.26/78,124.84
  6. Step 6: Final answer
    x = 61,544.36

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