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Finding the Fourth Proportional to 116,966, 175,467.22 and 38,061.60

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Solution

The fourth proportional to 116,966, 175,467.22 and 38,061.60 is: 57,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,966 : 175,467.22 = 38,061.60 : x
  2. Step 2: Convert to fraction form
    116,966/175,467.22 = 38,061.60/x
  3. Step 3: Cross multiply
    116,966x = 175,467.22 × 38,061.60
  4. Step 4: Simplify right side
    116,966x = 6,678,563,140.75
  5. Step 5: Solve for x
    x = 6,678,563,140.75/116,966
  6. Step 6: Final answer
    x = 57,098.33

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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.