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Finding the Fourth Proportional to 75,496.94, 113,263.94 and 37,564.11

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Solution

The fourth proportional to 75,496.94, 113,263.94 and 37,564.11 is: 56,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496.94 : 113,263.94 = 37,564.11 : x
  2. Step 2: Convert to fraction form
    75,496.94/113,263.94 = 37,564.11/x
  3. Step 3: Cross multiply
    75,496.94x = 113,263.94 × 37,564.11
  4. Step 4: Simplify right side
    75,496.94x = 4,254,659,054.24
  5. Step 5: Solve for x
    x = 4,254,659,054.24/75,496.94
  6. Step 6: Final answer
    x = 56,355.39

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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.