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Finding the Fourth Proportional to 30,859.47, 46,291.68 and 11,140.02

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Solution

The fourth proportional to 30,859.47, 46,291.68 and 11,140.02 is: 16,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.47 : 46,291.68 = 11,140.02 : x
  2. Step 2: Convert to fraction form
    30,859.47/46,291.68 = 11,140.02/x
  3. Step 3: Cross multiply
    30,859.47x = 46,291.68 × 11,140.02
  4. Step 4: Simplify right side
    30,859.47x = 515,690,241.03
  5. Step 5: Solve for x
    x = 515,690,241.03/30,859.47
  6. Step 6: Final answer
    x = 16,710.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.