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Finding the Fourth Proportional to 72,284.80, 108,459.60 and 32,821.60

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Solution

The fourth proportional to 72,284.80, 108,459.60 and 32,821.60 is: 49,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284.80 : 108,459.60 = 32,821.60 : x
  2. Step 2: Convert to fraction form
    72,284.80/108,459.60 = 32,821.60/x
  3. Step 3: Cross multiply
    72,284.80x = 108,459.60 × 32,821.60
  4. Step 4: Simplify right side
    72,284.80x = 3,559,817,607.36
  5. Step 5: Solve for x
    x = 3,559,817,607.36/72,284.80
  6. Step 6: Final answer
    x = 49,247.11

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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.