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Finding the Fourth Proportional to 41,547, 62,320.50 and 16,923

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Solution

The fourth proportional to 41,547, 62,320.50 and 16,923 is: 25,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547 : 62,320.50 = 16,923 : x
  2. Step 2: Convert to fraction form
    41,547/62,320.50 = 16,923/x
  3. Step 3: Cross multiply
    41,547x = 62,320.50 × 16,923
  4. Step 4: Simplify right side
    41,547x = 1,054,649,821.50
  5. Step 5: Solve for x
    x = 1,054,649,821.50/41,547
  6. Step 6: Final answer
    x = 25,384.50

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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.