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Finding the Fourth Proportional to 70,067.84, 105,014.27 and 35,017.52

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Solution

The fourth proportional to 70,067.84, 105,014.27 and 35,017.52 is: 52,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,067.84 : 105,014.27 = 35,017.52 : x
  2. Step 2: Convert to fraction form
    70,067.84/105,014.27 = 35,017.52/x
  3. Step 3: Cross multiply
    70,067.84x = 105,014.27 × 35,017.52
  4. Step 4: Simplify right side
    70,067.84x = 3,677,338,862.48
  5. Step 5: Solve for x
    x = 3,677,338,862.48/70,067.84
  6. Step 6: Final answer
    x = 52,482.55

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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.