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Finding the Fourth Proportional to 42,533.31, 58,696.01 and 24,629.28

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Solution

The fourth proportional to 42,533.31, 58,696.01 and 24,629.28 is: 33,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,533.31 : 58,696.01 = 24,629.28 : x
  2. Step 2: Convert to fraction form
    42,533.31/58,696.01 = 24,629.28/x
  3. Step 3: Cross multiply
    42,533.31x = 58,696.01 × 24,629.28
  4. Step 4: Simplify right side
    42,533.31x = 1,445,640,465.17
  5. Step 5: Solve for x
    x = 1,445,640,465.17/42,533.31
  6. Step 6: Final answer
    x = 33,988.43

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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.