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Finding the Fourth Proportional to 78,370.54, 108,152.07 and 42,560.86

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Solution

The fourth proportional to 78,370.54, 108,152.07 and 42,560.86 is: 58,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.54 : 108,152.07 = 42,560.86 : x
  2. Step 2: Convert to fraction form
    78,370.54/108,152.07 = 42,560.86/x
  3. Step 3: Cross multiply
    78,370.54x = 108,152.07 × 42,560.86
  4. Step 4: Simplify right side
    78,370.54x = 4,603,045,109.98
  5. Step 5: Solve for x
    x = 4,603,045,109.98/78,370.54
  6. Step 6: Final answer
    x = 58,734.38

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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.