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Finding the Fourth Proportional to 78,315.84, 108,057.12 and 44,773.44

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Solution

The fourth proportional to 78,315.84, 108,057.12 and 44,773.44 is: 61,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,315.84 : 108,057.12 = 44,773.44 : x
  2. Step 2: Convert to fraction form
    78,315.84/108,057.12 = 44,773.44/x
  3. Step 3: Cross multiply
    78,315.84x = 108,057.12 × 44,773.44
  4. Step 4: Simplify right side
    78,315.84x = 4,838,088,978.89
  5. Step 5: Solve for x
    x = 4,838,088,978.89/78,315.84
  6. Step 6: Final answer
    x = 61,776.63

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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.