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Finding the Fourth Proportional to 42,767.49, 59,016.76 and 23,646.16

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Solution

The fourth proportional to 42,767.49, 59,016.76 and 23,646.16 is: 32,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,767.49 : 59,016.76 = 23,646.16 : x
  2. Step 2: Convert to fraction form
    42,767.49/59,016.76 = 23,646.16/x
  3. Step 3: Cross multiply
    42,767.49x = 59,016.76 × 23,646.16
  4. Step 4: Simplify right side
    42,767.49x = 1,395,519,336.33
  5. Step 5: Solve for x
    x = 1,395,519,336.33/42,767.49
  6. Step 6: Final answer
    x = 32,630.38

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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.