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Finding the Fourth Proportional to 105,682.61, 158,575.08 and 46,510.56

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Solution

The fourth proportional to 105,682.61, 158,575.08 and 46,510.56 is: 69,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,682.61 : 158,575.08 = 46,510.56 : x
  2. Step 2: Convert to fraction form
    105,682.61/158,575.08 = 46,510.56/x
  3. Step 3: Cross multiply
    105,682.61x = 158,575.08 × 46,510.56
  4. Step 4: Simplify right side
    105,682.61x = 7,375,415,772.84
  5. Step 5: Solve for x
    x = 7,375,415,772.84/105,682.61
  6. Step 6: Final answer
    x = 69,788.36

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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.