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Finding the Fourth Proportional to 24,547.50, 36,821.63 and 6,079.50

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Solution

The fourth proportional to 24,547.50, 36,821.63 and 6,079.50 is: 9,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.50 : 36,821.63 = 6,079.50 : x
  2. Step 2: Convert to fraction form
    24,547.50/36,821.63 = 6,079.50/x
  3. Step 3: Cross multiply
    24,547.50x = 36,821.63 × 6,079.50
  4. Step 4: Simplify right side
    24,547.50x = 223,857,099.59
  5. Step 5: Solve for x
    x = 223,857,099.59/24,547.50
  6. Step 6: Final answer
    x = 9,119.34

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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.