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Finding the Fourth Proportional to 32,223.96, 48,316.47 and 14,451.39

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Solution

The fourth proportional to 32,223.96, 48,316.47 and 14,451.39 is: 21,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.96 : 48,316.47 = 14,451.39 : x
  2. Step 2: Convert to fraction form
    32,223.96/48,316.47 = 14,451.39/x
  3. Step 3: Cross multiply
    32,223.96x = 48,316.47 × 14,451.39
  4. Step 4: Simplify right side
    32,223.96x = 698,240,151.39
  5. Step 5: Solve for x
    x = 698,240,151.39/32,223.96
  6. Step 6: Final answer
    x = 21,668.35

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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.