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Finding the Fourth Proportional to 60,152.58, 90,228.47 and 47,016

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Solution

The fourth proportional to 60,152.58, 90,228.47 and 47,016 is: 70,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,152.58 : 90,228.47 = 47,016 : x
  2. Step 2: Convert to fraction form
    60,152.58/90,228.47 = 47,016/x
  3. Step 3: Cross multiply
    60,152.58x = 90,228.47 × 47,016
  4. Step 4: Simplify right side
    60,152.58x = 4,242,181,510.44
  5. Step 5: Solve for x
    x = 4,242,181,510.44/60,152.58
  6. Step 6: Final answer
    x = 70,523.68

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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.