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Finding the Fourth Proportional to 30,982.60, 46,447.86 and 21,595

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Solution

The fourth proportional to 30,982.60, 46,447.86 and 21,595 is: 32,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.60 : 46,447.86 = 21,595 : x
  2. Step 2: Convert to fraction form
    30,982.60/46,447.86 = 21,595/x
  3. Step 3: Cross multiply
    30,982.60x = 46,447.86 × 21,595
  4. Step 4: Simplify right side
    30,982.60x = 1,003,041,536.70
  5. Step 5: Solve for x
    x = 1,003,041,536.70/30,982.60
  6. Step 6: Final answer
    x = 32,374.35

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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.