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Finding the Fourth Proportional to 75,368.94, 113,055.84 and 37,908.57

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Solution

The fourth proportional to 75,368.94, 113,055.84 and 37,908.57 is: 56,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368.94 : 113,055.84 = 37,908.57 : x
  2. Step 2: Convert to fraction form
    75,368.94/113,055.84 = 37,908.57/x
  3. Step 3: Cross multiply
    75,368.94x = 113,055.84 × 37,908.57
  4. Step 4: Simplify right side
    75,368.94x = 4,285,785,224.55
  5. Step 5: Solve for x
    x = 4,285,785,224.55/75,368.94
  6. Step 6: Final answer
    x = 56,864.08

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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.