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Finding the Fourth Proportional to 54,972, 75,861.36 and 29,821.50

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Solution

The fourth proportional to 54,972, 75,861.36 and 29,821.50 is: 41,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,972 : 75,861.36 = 29,821.50 : x
  2. Step 2: Convert to fraction form
    54,972/75,861.36 = 29,821.50/x
  3. Step 3: Cross multiply
    54,972x = 75,861.36 × 29,821.50
  4. Step 4: Simplify right side
    54,972x = 2,262,299,547.24
  5. Step 5: Solve for x
    x = 2,262,299,547.24/54,972
  6. Step 6: Final answer
    x = 41,153.67

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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.