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Finding the Fourth Proportional to 57,252.10, 85,878.15 and 31,008.10

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Solution

The fourth proportional to 57,252.10, 85,878.15 and 31,008.10 is: 46,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,252.10 : 85,878.15 = 31,008.10 : x
  2. Step 2: Convert to fraction form
    57,252.10/85,878.15 = 31,008.10/x
  3. Step 3: Cross multiply
    57,252.10x = 85,878.15 × 31,008.10
  4. Step 4: Simplify right side
    57,252.10x = 2,662,918,263.02
  5. Step 5: Solve for x
    x = 2,662,918,263.02/57,252.10
  6. Step 6: Final answer
    x = 46,512.15

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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.