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Finding the Fourth Proportional to 74,675.80, 112,013.70 and 47,027.80

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Solution

The fourth proportional to 74,675.80, 112,013.70 and 47,027.80 is: 70,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,675.80 : 112,013.70 = 47,027.80 : x
  2. Step 2: Convert to fraction form
    74,675.80/112,013.70 = 47,027.80/x
  3. Step 3: Cross multiply
    74,675.80x = 112,013.70 × 47,027.80
  4. Step 4: Simplify right side
    74,675.80x = 5,267,757,880.86
  5. Step 5: Solve for x
    x = 5,267,757,880.86/74,675.80
  6. Step 6: Final answer
    x = 70,541.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.