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Finding the Fourth Proportional to 32,825.76, 45,283.72 and 21,490.24

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Solution

The fourth proportional to 32,825.76, 45,283.72 and 21,490.24 is: 29,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.76 : 45,283.72 = 21,490.24 : x
  2. Step 2: Convert to fraction form
    32,825.76/45,283.72 = 21,490.24/x
  3. Step 3: Cross multiply
    32,825.76x = 45,283.72 × 21,490.24
  4. Step 4: Simplify right side
    32,825.76x = 973,158,010.89
  5. Step 5: Solve for x
    x = 973,158,010.89/32,825.76
  6. Step 6: Final answer
    x = 29,646.17

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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.