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Finding the Fourth Proportional to 109,701.41, 164,519.50 and 46,520.60

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Solution

The fourth proportional to 109,701.41, 164,519.50 and 46,520.60 is: 69,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701.41 : 164,519.50 = 46,520.60 : x
  2. Step 2: Convert to fraction form
    109,701.41/164,519.50 = 46,520.60/x
  3. Step 3: Cross multiply
    109,701.41x = 164,519.50 × 46,520.60
  4. Step 4: Simplify right side
    109,701.41x = 7,653,545,851.70
  5. Step 5: Solve for x
    x = 7,653,545,851.70/109,701.41
  6. Step 6: Final answer
    x = 69,767.07

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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.