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Finding the Fourth Proportional to 42,038, 63,077 and 26,238.72

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Solution

The fourth proportional to 42,038, 63,077 and 26,238.72 is: 39,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038 : 63,077 = 26,238.72 : x
  2. Step 2: Convert to fraction form
    42,038/63,077 = 26,238.72/x
  3. Step 3: Cross multiply
    42,038x = 63,077 × 26,238.72
  4. Step 4: Simplify right side
    42,038x = 1,655,059,741.44
  5. Step 5: Solve for x
    x = 1,655,059,741.44/42,038
  6. Step 6: Final answer
    x = 39,370.56

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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.