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Finding the Fourth Proportional to 30,451.50, 45,690.93 and 19,355.31

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Solution

The fourth proportional to 30,451.50, 45,690.93 and 19,355.31 is: 29,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,451.50 : 45,690.93 = 19,355.31 : x
  2. Step 2: Convert to fraction form
    30,451.50/45,690.93 = 19,355.31/x
  3. Step 3: Cross multiply
    30,451.50x = 45,690.93 × 19,355.31
  4. Step 4: Simplify right side
    30,451.50x = 884,362,114.34
  5. Step 5: Solve for x
    x = 884,362,114.34/30,451.50
  6. Step 6: Final answer
    x = 29,041.66

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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.