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Finding the Fourth Proportional to 37,575, 51,855.13 and 20,808

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Solution

The fourth proportional to 37,575, 51,855.13 and 20,808 is: 28,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,575 : 51,855.13 = 20,808 : x
  2. Step 2: Convert to fraction form
    37,575/51,855.13 = 20,808/x
  3. Step 3: Cross multiply
    37,575x = 51,855.13 × 20,808
  4. Step 4: Simplify right side
    37,575x = 1,079,001,545.04
  5. Step 5: Solve for x
    x = 1,079,001,545.04/37,575
  6. Step 6: Final answer
    x = 28,715.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.