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Finding the Fourth Proportional to 106,916.64, 160,428.42 and 47,794.74

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Solution

The fourth proportional to 106,916.64, 160,428.42 and 47,794.74 is: 71,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916.64 : 160,428.42 = 47,794.74 : x
  2. Step 2: Convert to fraction form
    106,916.64/160,428.42 = 47,794.74/x
  3. Step 3: Cross multiply
    106,916.64x = 160,428.42 × 47,794.74
  4. Step 4: Simplify right side
    106,916.64x = 7,667,634,622.51
  5. Step 5: Solve for x
    x = 7,667,634,622.51/106,916.64
  6. Step 6: Final answer
    x = 71,716.01

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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.