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Finding the Fourth Proportional to 57,097, 78,828.42 and 37,259.56

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Solution

The fourth proportional to 57,097, 78,828.42 and 37,259.56 is: 51,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097 : 78,828.42 = 37,259.56 : x
  2. Step 2: Convert to fraction form
    57,097/78,828.42 = 37,259.56/x
  3. Step 3: Cross multiply
    57,097x = 78,828.42 × 37,259.56
  4. Step 4: Simplify right side
    57,097x = 2,937,112,244.70
  5. Step 5: Solve for x
    x = 2,937,112,244.70/57,097
  6. Step 6: Final answer
    x = 51,440.75

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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.