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Finding the Fourth Proportional to 78,210.68, 107,936.46 and 44,675.96

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Solution

The fourth proportional to 78,210.68, 107,936.46 and 44,675.96 is: 61,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.68 : 107,936.46 = 44,675.96 : x
  2. Step 2: Convert to fraction form
    78,210.68/107,936.46 = 44,675.96/x
  3. Step 3: Cross multiply
    78,210.68x = 107,936.46 × 44,675.96
  4. Step 4: Simplify right side
    78,210.68x = 4,822,164,969.50
  5. Step 5: Solve for x
    x = 4,822,164,969.50/78,210.68
  6. Step 6: Final answer
    x = 61,656.09

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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.