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Finding the Fourth Proportional to 84,152.87, 116,137.90 and 47,865.68

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Solution

The fourth proportional to 84,152.87, 116,137.90 and 47,865.68 is: 66,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,152.87 : 116,137.90 = 47,865.68 : x
  2. Step 2: Convert to fraction form
    84,152.87/116,137.90 = 47,865.68/x
  3. Step 3: Cross multiply
    84,152.87x = 116,137.90 × 47,865.68
  4. Step 4: Simplify right side
    84,152.87x = 5,559,020,125.21
  5. Step 5: Solve for x
    x = 5,559,020,125.21/84,152.87
  6. Step 6: Final answer
    x = 66,058.59

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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.