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Finding the Fourth Proportional to 57,097.83, 85,620.46 and 23,798.01

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Solution

The fourth proportional to 57,097.83, 85,620.46 and 23,798.01 is: 35,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097.83 : 85,620.46 = 23,798.01 : x
  2. Step 2: Convert to fraction form
    57,097.83/85,620.46 = 23,798.01/x
  3. Step 3: Cross multiply
    57,097.83x = 85,620.46 × 23,798.01
  4. Step 4: Simplify right side
    57,097.83x = 2,037,596,563.28
  5. Step 5: Solve for x
    x = 2,037,596,563.28/57,097.83
  6. Step 6: Final answer
    x = 35,686.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.