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Finding the Fourth Proportional to 35,122.50, 52,679.76 and 8,827.32

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Solution

The fourth proportional to 35,122.50, 52,679.76 and 8,827.32 is: 13,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122.50 : 52,679.76 = 8,827.32 : x
  2. Step 2: Convert to fraction form
    35,122.50/52,679.76 = 8,827.32/x
  3. Step 3: Cross multiply
    35,122.50x = 52,679.76 × 8,827.32
  4. Step 4: Simplify right side
    35,122.50x = 465,021,099.04
  5. Step 5: Solve for x
    x = 465,021,099.04/35,122.50
  6. Step 6: Final answer
    x = 13,239.98

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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.