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Finding the Fourth Proportional to 70,932.61, 106,415.43 and 24,185.53

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Solution

The fourth proportional to 70,932.61, 106,415.43 and 24,185.53 is: 36,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,932.61 : 106,415.43 = 24,185.53 : x
  2. Step 2: Convert to fraction form
    70,932.61/106,415.43 = 24,185.53/x
  3. Step 3: Cross multiply
    70,932.61x = 106,415.43 × 24,185.53
  4. Step 4: Simplify right side
    70,932.61x = 2,573,713,574.73
  5. Step 5: Solve for x
    x = 2,573,713,574.73/70,932.61
  6. Step 6: Final answer
    x = 36,283.93

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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.