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Finding the Fourth Proportional to 99,893.64, 149,862.36 and 37,564.12

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Solution

The fourth proportional to 99,893.64, 149,862.36 and 37,564.12 is: 56,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,893.64 : 149,862.36 = 37,564.12 : x
  2. Step 2: Convert to fraction form
    99,893.64/149,862.36 = 37,564.12/x
  3. Step 3: Cross multiply
    99,893.64x = 149,862.36 × 37,564.12
  4. Step 4: Simplify right side
    99,893.64x = 5,629,447,674.52
  5. Step 5: Solve for x
    x = 5,629,447,674.52/99,893.64
  6. Step 6: Final answer
    x = 56,354.42

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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.