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Finding the Fourth Proportional to 34,503.42, 51,753.51 and 9,543.27

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Solution

The fourth proportional to 34,503.42, 51,753.51 and 9,543.27 is: 14,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,503.42 : 51,753.51 = 9,543.27 : x
  2. Step 2: Convert to fraction form
    34,503.42/51,753.51 = 9,543.27/x
  3. Step 3: Cross multiply
    34,503.42x = 51,753.51 × 9,543.27
  4. Step 4: Simplify right side
    34,503.42x = 493,897,719.38
  5. Step 5: Solve for x
    x = 493,897,719.38/34,503.42
  6. Step 6: Final answer
    x = 14,314.46

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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.