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Finding the Fourth Proportional to 78,415.38, 108,213.48 and 44,430.17

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Solution

The fourth proportional to 78,415.38, 108,213.48 and 44,430.17 is: 61,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.38 : 108,213.48 = 44,430.17 : x
  2. Step 2: Convert to fraction form
    78,415.38/108,213.48 = 44,430.17/x
  3. Step 3: Cross multiply
    78,415.38x = 108,213.48 × 44,430.17
  4. Step 4: Simplify right side
    78,415.38x = 4,807,942,771.62
  5. Step 5: Solve for x
    x = 4,807,942,771.62/78,415.38
  6. Step 6: Final answer
    x = 61,313.77

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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.