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Finding the Fourth Proportional to 37,590, 51,875.91 and 20,823

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Solution

The fourth proportional to 37,590, 51,875.91 and 20,823 is: 28,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,590 : 51,875.91 = 20,823 : x
  2. Step 2: Convert to fraction form
    37,590/51,875.91 = 20,823/x
  3. Step 3: Cross multiply
    37,590x = 51,875.91 × 20,823
  4. Step 4: Simplify right side
    37,590x = 1,080,212,073.93
  5. Step 5: Solve for x
    x = 1,080,212,073.93/37,590
  6. Step 6: Final answer
    x = 28,736.69

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