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Finding the Fourth Proportional to 75,760.54, 113,515.17 and 46,088.62

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Solution

The fourth proportional to 75,760.54, 113,515.17 and 46,088.62 is: 69,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760.54 : 113,515.17 = 46,088.62 : x
  2. Step 2: Convert to fraction form
    75,760.54/113,515.17 = 46,088.62/x
  3. Step 3: Cross multiply
    75,760.54x = 113,515.17 × 46,088.62
  4. Step 4: Simplify right side
    75,760.54x = 5,231,757,534.37
  5. Step 5: Solve for x
    x = 5,231,757,534.37/75,760.54
  6. Step 6: Final answer
    x = 69,056.50

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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.