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Finding the Fourth Proportional to 35,627.64, 53,513.16 and 21,424.32

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Solution

The fourth proportional to 35,627.64, 53,513.16 and 21,424.32 is: 32,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,627.64 : 53,513.16 = 21,424.32 : x
  2. Step 2: Convert to fraction form
    35,627.64/53,513.16 = 21,424.32/x
  3. Step 3: Cross multiply
    35,627.64x = 53,513.16 × 21,424.32
  4. Step 4: Simplify right side
    35,627.64x = 1,146,483,064.05
  5. Step 5: Solve for x
    x = 1,146,483,064.05/35,627.64
  6. Step 6: Final answer
    x = 32,179.60

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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.