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Finding the Fourth Proportional to 32,178.53, 44,406.65 and 17,838.67

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Solution

The fourth proportional to 32,178.53, 44,406.65 and 17,838.67 is: 24,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.53 : 44,406.65 = 17,838.67 : x
  2. Step 2: Convert to fraction form
    32,178.53/44,406.65 = 17,838.67/x
  3. Step 3: Cross multiply
    32,178.53x = 44,406.65 × 17,838.67
  4. Step 4: Simplify right side
    32,178.53x = 792,155,575.16
  5. Step 5: Solve for x
    x = 792,155,575.16/32,178.53
  6. Step 6: Final answer
    x = 24,617.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.