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Finding the Fourth Proportional to 103,384.14, 155,107.32 and 32,303.90

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Solution

The fourth proportional to 103,384.14, 155,107.32 and 32,303.90 is: 48,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,384.14 : 155,107.32 = 32,303.90 : x
  2. Step 2: Convert to fraction form
    103,384.14/155,107.32 = 32,303.90/x
  3. Step 3: Cross multiply
    103,384.14x = 155,107.32 × 32,303.90
  4. Step 4: Simplify right side
    103,384.14x = 5,010,571,354.55
  5. Step 5: Solve for x
    x = 5,010,571,354.55/103,384.14
  6. Step 6: Final answer
    x = 48,465.57

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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.