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Finding the Fourth Proportional to 75,904.17, 113,880.54 and 36,464.05

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Solution

The fourth proportional to 75,904.17, 113,880.54 and 36,464.05 is: 54,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904.17 : 113,880.54 = 36,464.05 : x
  2. Step 2: Convert to fraction form
    75,904.17/113,880.54 = 36,464.05/x
  3. Step 3: Cross multiply
    75,904.17x = 113,880.54 × 36,464.05
  4. Step 4: Simplify right side
    75,904.17x = 4,152,545,704.59
  5. Step 5: Solve for x
    x = 4,152,545,704.59/75,904.17
  6. Step 6: Final answer
    x = 54,707.74

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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.