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Finding the Fourth Proportional to 70,877.25, 106,263.14 and 30,888.64

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Solution

The fourth proportional to 70,877.25, 106,263.14 and 30,888.64 is: 46,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,877.25 : 106,263.14 = 30,888.64 : x
  2. Step 2: Convert to fraction form
    70,877.25/106,263.14 = 30,888.64/x
  3. Step 3: Cross multiply
    70,877.25x = 106,263.14 × 30,888.64
  4. Step 4: Simplify right side
    70,877.25x = 3,282,324,028.86
  5. Step 5: Solve for x
    x = 3,282,324,028.86/70,877.25
  6. Step 6: Final answer
    x = 46,309.98

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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.