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Finding the Fourth Proportional to 37,564, 51,839.40 and 20,798.08

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Solution

The fourth proportional to 37,564, 51,839.40 and 20,798.08 is: 28,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564 : 51,839.40 = 20,798.08 : x
  2. Step 2: Convert to fraction form
    37,564/51,839.40 = 20,798.08/x
  3. Step 3: Cross multiply
    37,564x = 51,839.40 × 20,798.08
  4. Step 4: Simplify right side
    37,564x = 1,078,159,988.35
  5. Step 5: Solve for x
    x = 1,078,159,988.35/37,564
  6. Step 6: Final answer
    x = 28,701.95

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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.