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Finding the Fourth Proportional to 32,225.36, 48,319.04 and 14,685.60

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Solution

The fourth proportional to 32,225.36, 48,319.04 and 14,685.60 is: 22,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.36 : 48,319.04 = 14,685.60 : x
  2. Step 2: Convert to fraction form
    32,225.36/48,319.04 = 14,685.60/x
  3. Step 3: Cross multiply
    32,225.36x = 48,319.04 × 14,685.60
  4. Step 4: Simplify right side
    32,225.36x = 709,594,093.82
  5. Step 5: Solve for x
    x = 709,594,093.82/32,225.36
  6. Step 6: Final answer
    x = 22,019.74

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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.