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Finding the Fourth Proportional to 37,728.36, 56,600.91 and 14,355

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Solution

The fourth proportional to 37,728.36, 56,600.91 and 14,355 is: 21,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.36 : 56,600.91 = 14,355 : x
  2. Step 2: Convert to fraction form
    37,728.36/56,600.91 = 14,355/x
  3. Step 3: Cross multiply
    37,728.36x = 56,600.91 × 14,355
  4. Step 4: Simplify right side
    37,728.36x = 812,506,063.05
  5. Step 5: Solve for x
    x = 812,506,063.05/37,728.36
  6. Step 6: Final answer
    x = 21,535.68

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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.