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Finding the Fourth Proportional to 42,728.30, 64,048.71 and 21,629.22

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Solution

The fourth proportional to 42,728.30, 64,048.71 and 21,629.22 is: 32,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728.30 : 64,048.71 = 21,629.22 : x
  2. Step 2: Convert to fraction form
    42,728.30/64,048.71 = 21,629.22/x
  3. Step 3: Cross multiply
    42,728.30x = 64,048.71 × 21,629.22
  4. Step 4: Simplify right side
    42,728.30x = 1,385,323,639.31
  5. Step 5: Solve for x
    x = 1,385,323,639.31/42,728.30
  6. Step 6: Final answer
    x = 32,421.69

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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.