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Finding the Fourth Proportional to 30,952.85, 46,421.82 and 14,296.86

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Solution

The fourth proportional to 30,952.85, 46,421.82 and 14,296.86 is: 21,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.85 : 46,421.82 = 14,296.86 : x
  2. Step 2: Convert to fraction form
    30,952.85/46,421.82 = 14,296.86/x
  3. Step 3: Cross multiply
    30,952.85x = 46,421.82 × 14,296.86
  4. Step 4: Simplify right side
    30,952.85x = 663,686,261.49
  5. Step 5: Solve for x
    x = 663,686,261.49/30,952.85
  6. Step 6: Final answer
    x = 21,441.85

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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.