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Finding the Fourth Proportional to 65,238, 90,029.52 and 35,430

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Solution

The fourth proportional to 65,238, 90,029.52 and 35,430 is: 48,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238 : 90,029.52 = 35,430 : x
  2. Step 2: Convert to fraction form
    65,238/90,029.52 = 35,430/x
  3. Step 3: Cross multiply
    65,238x = 90,029.52 × 35,430
  4. Step 4: Simplify right side
    65,238x = 3,189,745,893.60
  5. Step 5: Solve for x
    x = 3,189,745,893.60/65,238
  6. Step 6: Final answer
    x = 48,893.99

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