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Finding the Fourth Proportional to 30,665.98, 42,322.54 and 17,055.38

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Solution

The fourth proportional to 30,665.98, 42,322.54 and 17,055.38 is: 23,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.98 : 42,322.54 = 17,055.38 : x
  2. Step 2: Convert to fraction form
    30,665.98/42,322.54 = 17,055.38/x
  3. Step 3: Cross multiply
    30,665.98x = 42,322.54 × 17,055.38
  4. Step 4: Simplify right side
    30,665.98x = 721,827,002.27
  5. Step 5: Solve for x
    x = 721,827,002.27/30,665.98
  6. Step 6: Final answer
    x = 23,538.36

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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.