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Finding the Fourth Proportional to 37,324.36, 56,005.98 and 16,543

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Solution

The fourth proportional to 37,324.36, 56,005.98 and 16,543 is: 24,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324.36 : 56,005.98 = 16,543 : x
  2. Step 2: Convert to fraction form
    37,324.36/56,005.98 = 16,543/x
  3. Step 3: Cross multiply
    37,324.36x = 56,005.98 × 16,543
  4. Step 4: Simplify right side
    37,324.36x = 926,506,927.14
  5. Step 5: Solve for x
    x = 926,506,927.14/37,324.36
  6. Step 6: Final answer
    x = 24,823.12

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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.