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Finding the Fourth Proportional to 70,820.88, 106,296.98 and 35,785.16

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Solution

The fourth proportional to 70,820.88, 106,296.98 and 35,785.16 is: 53,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.88 : 106,296.98 = 35,785.16 : x
  2. Step 2: Convert to fraction form
    70,820.88/106,296.98 = 35,785.16/x
  3. Step 3: Cross multiply
    70,820.88x = 106,296.98 × 35,785.16
  4. Step 4: Simplify right side
    70,820.88x = 3,803,854,436.82
  5. Step 5: Solve for x
    x = 3,803,854,436.82/70,820.88
  6. Step 6: Final answer
    x = 53,710.92

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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.