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Finding the Fourth Proportional to 24,539, 36,808.50 and 6,071

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Solution

The fourth proportional to 24,539, 36,808.50 and 6,071 is: 9,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539 : 36,808.50 = 6,071 : x
  2. Step 2: Convert to fraction form
    24,539/36,808.50 = 6,071/x
  3. Step 3: Cross multiply
    24,539x = 36,808.50 × 6,071
  4. Step 4: Simplify right side
    24,539x = 223,464,403.50
  5. Step 5: Solve for x
    x = 223,464,403.50/24,539
  6. Step 6: Final answer
    x = 9,106.50

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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.