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Finding the Fourth Proportional to 99,064, 148,619.04 and 33,400

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Solution

The fourth proportional to 99,064, 148,619.04 and 33,400 is: 50,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,064 : 148,619.04 = 33,400 : x
  2. Step 2: Convert to fraction form
    99,064/148,619.04 = 33,400/x
  3. Step 3: Cross multiply
    99,064x = 148,619.04 × 33,400
  4. Step 4: Simplify right side
    99,064x = 4,963,875,936
  5. Step 5: Solve for x
    x = 4,963,875,936/99,064
  6. Step 6: Final answer
    x = 50,107.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.