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Finding the Fourth Proportional to 37,097.76, 51,196.08 and 20,332.32

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Solution

The fourth proportional to 37,097.76, 51,196.08 and 20,332.32 is: 28,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.76 : 51,196.08 = 20,332.32 : x
  2. Step 2: Convert to fraction form
    37,097.76/51,196.08 = 20,332.32/x
  3. Step 3: Cross multiply
    37,097.76x = 51,196.08 × 20,332.32
  4. Step 4: Simplify right side
    37,097.76x = 1,040,935,081.31
  5. Step 5: Solve for x
    x = 1,040,935,081.31/37,097.76
  6. Step 6: Final answer
    x = 28,059.24

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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.