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Finding the Fourth Proportional to 52,090.20, 78,111.88 and 31,040.16

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Solution

The fourth proportional to 52,090.20, 78,111.88 and 31,040.16 is: 46,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.20 : 78,111.88 = 31,040.16 : x
  2. Step 2: Convert to fraction form
    52,090.20/78,111.88 = 31,040.16/x
  3. Step 3: Cross multiply
    52,090.20x = 78,111.88 × 31,040.16
  4. Step 4: Simplify right side
    52,090.20x = 2,424,605,253.10
  5. Step 5: Solve for x
    x = 2,424,605,253.10/52,090.20
  6. Step 6: Final answer
    x = 46,546.28

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