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Finding the Fourth Proportional to 103,664.85, 155,530.08 and 37,103.50

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Solution

The fourth proportional to 103,664.85, 155,530.08 and 37,103.50 is: 55,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664.85 : 155,530.08 = 37,103.50 : x
  2. Step 2: Convert to fraction form
    103,664.85/155,530.08 = 37,103.50/x
  3. Step 3: Cross multiply
    103,664.85x = 155,530.08 × 37,103.50
  4. Step 4: Simplify right side
    103,664.85x = 5,770,710,323.28
  5. Step 5: Solve for x
    x = 5,770,710,323.28/103,664.85
  6. Step 6: Final answer
    x = 55,666.99

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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.