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Finding the Fourth Proportional to 39,082.50, 53,978.40 and 26,485.38

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Solution

The fourth proportional to 39,082.50, 53,978.40 and 26,485.38 is: 36,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082.50 : 53,978.40 = 26,485.38 : x
  2. Step 2: Convert to fraction form
    39,082.50/53,978.40 = 26,485.38/x
  3. Step 3: Cross multiply
    39,082.50x = 53,978.40 × 26,485.38
  4. Step 4: Simplify right side
    39,082.50x = 1,429,638,435.79
  5. Step 5: Solve for x
    x = 1,429,638,435.79/39,082.50
  6. Step 6: Final answer
    x = 36,580.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.