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Finding the Fourth Proportional to 57,235.16, 78,985.10 and 31,742.03

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Solution

The fourth proportional to 57,235.16, 78,985.10 and 31,742.03 is: 43,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,235.16 : 78,985.10 = 31,742.03 : x
  2. Step 2: Convert to fraction form
    57,235.16/78,985.10 = 31,742.03/x
  3. Step 3: Cross multiply
    57,235.16x = 78,985.10 × 31,742.03
  4. Step 4: Simplify right side
    57,235.16x = 2,507,147,157.01
  5. Step 5: Solve for x
    x = 2,507,147,157.01/57,235.16
  6. Step 6: Final answer
    x = 43,804.32

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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.