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Finding the Fourth Proportional to 92,975.50, 139,485.12 and 30,646

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Solution

The fourth proportional to 92,975.50, 139,485.12 and 30,646 is: 45,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,975.50 : 139,485.12 = 30,646 : x
  2. Step 2: Convert to fraction form
    92,975.50/139,485.12 = 30,646/x
  3. Step 3: Cross multiply
    92,975.50x = 139,485.12 × 30,646
  4. Step 4: Simplify right side
    92,975.50x = 4,274,660,987.52
  5. Step 5: Solve for x
    x = 4,274,660,987.52/92,975.50
  6. Step 6: Final answer
    x = 45,976.21

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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.