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Finding the Fourth Proportional to 51,018, 70,373.07 and 35,074.77

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Solution

The fourth proportional to 51,018, 70,373.07 and 35,074.77 is: 48,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018 : 70,373.07 = 35,074.77 : x
  2. Step 2: Convert to fraction form
    51,018/70,373.07 = 35,074.77/x
  3. Step 3: Cross multiply
    51,018x = 70,373.07 × 35,074.77
  4. Step 4: Simplify right side
    51,018x = 2,468,319,244.44
  5. Step 5: Solve for x
    x = 2,468,319,244.44/51,018
  6. Step 6: Final answer
    x = 48,381.34

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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.