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Finding the Fourth Proportional to 78,047.76, 107,706.20 and 44,056.56

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Solution

The fourth proportional to 78,047.76, 107,706.20 and 44,056.56 is: 60,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,047.76 : 107,706.20 = 44,056.56 : x
  2. Step 2: Convert to fraction form
    78,047.76/107,706.20 = 44,056.56/x
  3. Step 3: Cross multiply
    78,047.76x = 107,706.20 × 44,056.56
  4. Step 4: Simplify right side
    78,047.76x = 4,745,164,662.67
  5. Step 5: Solve for x
    x = 4,745,164,662.67/78,047.76
  6. Step 6: Final answer
    x = 60,798.22

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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.