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Finding the Fourth Proportional to 45,024, 62,133.12 and 25,152

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Solution

The fourth proportional to 45,024, 62,133.12 and 25,152 is: 34,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,024 : 62,133.12 = 25,152 : x
  2. Step 2: Convert to fraction form
    45,024/62,133.12 = 25,152/x
  3. Step 3: Cross multiply
    45,024x = 62,133.12 × 25,152
  4. Step 4: Simplify right side
    45,024x = 1,562,772,234.24
  5. Step 5: Solve for x
    x = 1,562,772,234.24/45,024
  6. Step 6: Final answer
    x = 34,709.76

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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.