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Finding the Fourth Proportional to 71,024.40, 106,536.60 and 57,027.60

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Solution

The fourth proportional to 71,024.40, 106,536.60 and 57,027.60 is: 85,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024.40 : 106,536.60 = 57,027.60 : x
  2. Step 2: Convert to fraction form
    71,024.40/106,536.60 = 57,027.60/x
  3. Step 3: Cross multiply
    71,024.40x = 106,536.60 × 57,027.60
  4. Step 4: Simplify right side
    71,024.40x = 6,075,526,610.16
  5. Step 5: Solve for x
    x = 6,075,526,610.16/71,024.40
  6. Step 6: Final answer
    x = 85,541.40

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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.