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Finding the Fourth Proportional to 78,025.66, 107,675.35 and 44,041.30

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Solution

The fourth proportional to 78,025.66, 107,675.35 and 44,041.30 is: 60,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,025.66 : 107,675.35 = 44,041.30 : x
  2. Step 2: Convert to fraction form
    78,025.66/107,675.35 = 44,041.30/x
  3. Step 3: Cross multiply
    78,025.66x = 107,675.35 × 44,041.30
  4. Step 4: Simplify right side
    78,025.66x = 4,742,162,391.96
  5. Step 5: Solve for x
    x = 4,742,162,391.96/78,025.66
  6. Step 6: Final answer
    x = 60,776.96

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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.