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Finding the Fourth Proportional to 75,785.36, 113,710.80 and 40,684

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Solution

The fourth proportional to 75,785.36, 113,710.80 and 40,684 is: 61,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,785.36 : 113,710.80 = 40,684 : x
  2. Step 2: Convert to fraction form
    75,785.36/113,710.80 = 40,684/x
  3. Step 3: Cross multiply
    75,785.36x = 113,710.80 × 40,684
  4. Step 4: Simplify right side
    75,785.36x = 4,626,210,187.20
  5. Step 5: Solve for x
    x = 4,626,210,187.20/75,785.36
  6. Step 6: Final answer
    x = 61,043.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.