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Finding the Fourth Proportional to 24,538.50, 36,808.11 and 6,070.50

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Solution

The fourth proportional to 24,538.50, 36,808.11 and 6,070.50 is: 9,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.50 : 36,808.11 = 6,070.50 : x
  2. Step 2: Convert to fraction form
    24,538.50/36,808.11 = 6,070.50/x
  3. Step 3: Cross multiply
    24,538.50x = 36,808.11 × 6,070.50
  4. Step 4: Simplify right side
    24,538.50x = 223,443,631.76
  5. Step 5: Solve for x
    x = 223,443,631.76/24,538.50
  6. Step 6: Final answer
    x = 9,105.84

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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.