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Finding the Fourth Proportional to 39,803.16, 59,702.58 and 12,099

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Solution

The fourth proportional to 39,803.16, 59,702.58 and 12,099 is: 18,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,803.16 : 59,702.58 = 12,099 : x
  2. Step 2: Convert to fraction form
    39,803.16/59,702.58 = 12,099/x
  3. Step 3: Cross multiply
    39,803.16x = 59,702.58 × 12,099
  4. Step 4: Simplify right side
    39,803.16x = 722,341,515.42
  5. Step 5: Solve for x
    x = 722,341,515.42/39,803.16
  6. Step 6: Final answer
    x = 18,147.84

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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.