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Finding the Fourth Proportional to 30,846.39, 42,567.82 and 17,417.58

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Solution

The fourth proportional to 30,846.39, 42,567.82 and 17,417.58 is: 24,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.39 : 42,567.82 = 17,417.58 : x
  2. Step 2: Convert to fraction form
    30,846.39/42,567.82 = 17,417.58/x
  3. Step 3: Cross multiply
    30,846.39x = 42,567.82 × 17,417.58
  4. Step 4: Simplify right side
    30,846.39x = 741,428,410.28
  5. Step 5: Solve for x
    x = 741,428,410.28/30,846.39
  6. Step 6: Final answer
    x = 24,036.15

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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.