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Finding the Fourth Proportional to 32,821.50, 45,275.43 and 21,509.24

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Solution

The fourth proportional to 32,821.50, 45,275.43 and 21,509.24 is: 29,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.50 : 45,275.43 = 21,509.24 : x
  2. Step 2: Convert to fraction form
    32,821.50/45,275.43 = 21,509.24/x
  3. Step 3: Cross multiply
    32,821.50x = 45,275.43 × 21,509.24
  4. Step 4: Simplify right side
    32,821.50x = 973,840,089.97
  5. Step 5: Solve for x
    x = 973,840,089.97/32,821.50
  6. Step 6: Final answer
    x = 29,670.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.