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Finding the Fourth Proportional to 66,294.24, 99,438.06 and 24,738

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Solution

The fourth proportional to 66,294.24, 99,438.06 and 24,738 is: 37,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,294.24 : 99,438.06 = 24,738 : x
  2. Step 2: Convert to fraction form
    66,294.24/99,438.06 = 24,738/x
  3. Step 3: Cross multiply
    66,294.24x = 99,438.06 × 24,738
  4. Step 4: Simplify right side
    66,294.24x = 2,459,898,728.28
  5. Step 5: Solve for x
    x = 2,459,898,728.28/66,294.24
  6. Step 6: Final answer
    x = 37,105.77

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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.