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Finding the Fourth Proportional to 30,744.90, 46,117.26 and 9,686.70

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Solution

The fourth proportional to 30,744.90, 46,117.26 and 9,686.70 is: 14,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.90 : 46,117.26 = 9,686.70 : x
  2. Step 2: Convert to fraction form
    30,744.90/46,117.26 = 9,686.70/x
  3. Step 3: Cross multiply
    30,744.90x = 46,117.26 × 9,686.70
  4. Step 4: Simplify right side
    30,744.90x = 446,724,062.44
  5. Step 5: Solve for x
    x = 446,724,062.44/30,744.90
  6. Step 6: Final answer
    x = 14,530.02

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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.