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Finding the Fourth Proportional to 32,800.64, 49,190.40 and 9,420.80

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Solution

The fourth proportional to 32,800.64, 49,190.40 and 9,420.80 is: 14,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.64 : 49,190.40 = 9,420.80 : x
  2. Step 2: Convert to fraction form
    32,800.64/49,190.40 = 9,420.80/x
  3. Step 3: Cross multiply
    32,800.64x = 49,190.40 × 9,420.80
  4. Step 4: Simplify right side
    32,800.64x = 463,412,920.32
  5. Step 5: Solve for x
    x = 463,412,920.32/32,800.64
  6. Step 6: Final answer
    x = 14,128.17

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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.