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Finding the Fourth Proportional to 104,384.80, 156,603.12 and 48,916

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Solution

The fourth proportional to 104,384.80, 156,603.12 and 48,916 is: 73,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,384.80 : 156,603.12 = 48,916 : x
  2. Step 2: Convert to fraction form
    104,384.80/156,603.12 = 48,916/x
  3. Step 3: Cross multiply
    104,384.80x = 156,603.12 × 48,916
  4. Step 4: Simplify right side
    104,384.80x = 7,660,398,217.92
  5. Step 5: Solve for x
    x = 7,660,398,217.92/104,384.80
  6. Step 6: Final answer
    x = 73,386.15

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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.