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Finding the Fourth Proportional to 24,539.50, 36,809.61 and 6,071.50

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Solution

The fourth proportional to 24,539.50, 36,809.61 and 6,071.50 is: 9,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.50 : 36,809.61 = 6,071.50 : x
  2. Step 2: Convert to fraction form
    24,539.50/36,809.61 = 6,071.50/x
  3. Step 3: Cross multiply
    24,539.50x = 36,809.61 × 6,071.50
  4. Step 4: Simplify right side
    24,539.50x = 223,489,547.12
  5. Step 5: Solve for x
    x = 223,489,547.12/24,539.50
  6. Step 6: Final answer
    x = 9,107.34

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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.