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Finding the Fourth Proportional to 109,717.50, 164,562.12 and 46,563.32

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Solution

The fourth proportional to 109,717.50, 164,562.12 and 46,563.32 is: 69,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717.50 : 164,562.12 = 46,563.32 : x
  2. Step 2: Convert to fraction form
    109,717.50/164,562.12 = 46,563.32/x
  3. Step 3: Cross multiply
    109,717.50x = 164,562.12 × 46,563.32
  4. Step 4: Simplify right side
    109,717.50x = 7,662,558,653.44
  5. Step 5: Solve for x
    x = 7,662,558,653.44/109,717.50
  6. Step 6: Final answer
    x = 69,838.98

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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.