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Finding the Fourth Proportional to 35,712.63, 49,323.78 and 24,362.64

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Solution

The fourth proportional to 35,712.63, 49,323.78 and 24,362.64 is: 33,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.63 : 49,323.78 = 24,362.64 : x
  2. Step 2: Convert to fraction form
    35,712.63/49,323.78 = 24,362.64/x
  3. Step 3: Cross multiply
    35,712.63x = 49,323.78 × 24,362.64
  4. Step 4: Simplify right side
    35,712.63x = 1,201,657,495.58
  5. Step 5: Solve for x
    x = 1,201,657,495.58/35,712.63
  6. Step 6: Final answer
    x = 33,647.97

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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.