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Finding the Fourth Proportional to 51,512.54, 71,068.47 and 42,120.86

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Solution

The fourth proportional to 51,512.54, 71,068.47 and 42,120.86 is: 58,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512.54 : 71,068.47 = 42,120.86 : x
  2. Step 2: Convert to fraction form
    51,512.54/71,068.47 = 42,120.86/x
  3. Step 3: Cross multiply
    51,512.54x = 71,068.47 × 42,120.86
  4. Step 4: Simplify right side
    51,512.54x = 2,993,465,075.28
  5. Step 5: Solve for x
    x = 2,993,465,075.28/51,512.54
  6. Step 6: Final answer
    x = 58,111.39

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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.