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Finding the Fourth Proportional to 34,652.50, 51,971.14 and 9,685.86

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Solution

The fourth proportional to 34,652.50, 51,971.14 and 9,685.86 is: 14,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.50 : 51,971.14 = 9,685.86 : x
  2. Step 2: Convert to fraction form
    34,652.50/51,971.14 = 9,685.86/x
  3. Step 3: Cross multiply
    34,652.50x = 51,971.14 × 9,685.86
  4. Step 4: Simplify right side
    34,652.50x = 503,385,186.08
  5. Step 5: Solve for x
    x = 503,385,186.08/34,652.50
  6. Step 6: Final answer
    x = 14,526.66

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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.