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Finding the Fourth Proportional to 72,223.68, 108,349.08 and 32,783.57

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Solution

The fourth proportional to 72,223.68, 108,349.08 and 32,783.57 is: 49,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,223.68 : 108,349.08 = 32,783.57 : x
  2. Step 2: Convert to fraction form
    72,223.68/108,349.08 = 32,783.57/x
  3. Step 3: Cross multiply
    72,223.68x = 108,349.08 × 32,783.57
  4. Step 4: Simplify right side
    72,223.68x = 3,552,069,106.87
  5. Step 5: Solve for x
    x = 3,552,069,106.87/72,223.68
  6. Step 6: Final answer
    x = 49,181.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.