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Finding the Fourth Proportional to 30,862.81, 42,590.50 and 17,433.42

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Solution

The fourth proportional to 30,862.81, 42,590.50 and 17,433.42 is: 24,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.81 : 42,590.50 = 17,433.42 : x
  2. Step 2: Convert to fraction form
    30,862.81/42,590.50 = 17,433.42/x
  3. Step 3: Cross multiply
    30,862.81x = 42,590.50 × 17,433.42
  4. Step 4: Simplify right side
    30,862.81x = 742,498,074.51
  5. Step 5: Solve for x
    x = 742,498,074.51/30,862.81
  6. Step 6: Final answer
    x = 24,058.02

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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.