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Finding the Fourth Proportional to 76,544.76, 114,661.62 and 39,531

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Solution

The fourth proportional to 76,544.76, 114,661.62 and 39,531 is: 59,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544.76 : 114,661.62 = 39,531 : x
  2. Step 2: Convert to fraction form
    76,544.76/114,661.62 = 39,531/x
  3. Step 3: Cross multiply
    76,544.76x = 114,661.62 × 39,531
  4. Step 4: Simplify right side
    76,544.76x = 4,532,688,500.22
  5. Step 5: Solve for x
    x = 4,532,688,500.22/76,544.76
  6. Step 6: Final answer
    x = 59,216.18

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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.