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Finding the Fourth Proportional to 70,913.36, 106,346.28 and 35,830.64

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Solution

The fourth proportional to 70,913.36, 106,346.28 and 35,830.64 is: 53,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.36 : 106,346.28 = 35,830.64 : x
  2. Step 2: Convert to fraction form
    70,913.36/106,346.28 = 35,830.64/x
  3. Step 3: Cross multiply
    70,913.36x = 106,346.28 × 35,830.64
  4. Step 4: Simplify right side
    70,913.36x = 3,810,455,274.02
  5. Step 5: Solve for x
    x = 3,810,455,274.02/70,913.36
  6. Step 6: Final answer
    x = 53,733.95

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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.