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Finding the Fourth Proportional to 74,630.49, 102,984.39 and 42,361.32

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Solution

The fourth proportional to 74,630.49, 102,984.39 and 42,361.32 is: 58,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,630.49 : 102,984.39 = 42,361.32 : x
  2. Step 2: Convert to fraction form
    74,630.49/102,984.39 = 42,361.32/x
  3. Step 3: Cross multiply
    74,630.49x = 102,984.39 × 42,361.32
  4. Step 4: Simplify right side
    74,630.49x = 4,362,554,699.79
  5. Step 5: Solve for x
    x = 4,362,554,699.79/74,630.49
  6. Step 6: Final answer
    x = 58,455.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.