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Finding the Fourth Proportional to 45,853, 68,798.94 and 24,768.16

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Solution

The fourth proportional to 45,853, 68,798.94 and 24,768.16 is: 37,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,853 : 68,798.94 = 24,768.16 : x
  2. Step 2: Convert to fraction form
    45,853/68,798.94 = 24,768.16/x
  3. Step 3: Cross multiply
    45,853x = 68,798.94 × 24,768.16
  4. Step 4: Simplify right side
    45,853x = 1,704,023,153.75
  5. Step 5: Solve for x
    x = 1,704,023,153.75/45,853
  6. Step 6: Final answer
    x = 37,162.74

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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.