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Finding the Fourth Proportional to 99,384.96, 149,103.36 and 37,056

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Solution

The fourth proportional to 99,384.96, 149,103.36 and 37,056 is: 55,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,384.96 : 149,103.36 = 37,056 : x
  2. Step 2: Convert to fraction form
    99,384.96/149,103.36 = 37,056/x
  3. Step 3: Cross multiply
    99,384.96x = 149,103.36 × 37,056
  4. Step 4: Simplify right side
    99,384.96x = 5,525,174,108.16
  5. Step 5: Solve for x
    x = 5,525,174,108.16/99,384.96
  6. Step 6: Final answer
    x = 55,593.66

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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.