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Finding the Fourth Proportional to 32,221.48, 48,307.91 and 21,130.96

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Solution

The fourth proportional to 32,221.48, 48,307.91 and 21,130.96 is: 31,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.48 : 48,307.91 = 21,130.96 : x
  2. Step 2: Convert to fraction form
    32,221.48/48,307.91 = 21,130.96/x
  3. Step 3: Cross multiply
    32,221.48x = 48,307.91 × 21,130.96
  4. Step 4: Simplify right side
    32,221.48x = 1,020,792,272.35
  5. Step 5: Solve for x
    x = 1,020,792,272.35/32,221.48
  6. Step 6: Final answer
    x = 31,680.49

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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.