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Finding the Fourth Proportional to 109,941.18, 164,871.99 and 46,765.50

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Solution

The fourth proportional to 109,941.18, 164,871.99 and 46,765.50 is: 70,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,941.18 : 164,871.99 = 46,765.50 : x
  2. Step 2: Convert to fraction form
    109,941.18/164,871.99 = 46,765.50/x
  3. Step 3: Cross multiply
    109,941.18x = 164,871.99 × 46,765.50
  4. Step 4: Simplify right side
    109,941.18x = 7,710,321,048.35
  5. Step 5: Solve for x
    x = 7,710,321,048.35/109,941.18
  6. Step 6: Final answer
    x = 70,131.33

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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.