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Finding the Fourth Proportional to 30,490.75, 45,688.92 and 21,148.93

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Solution

The fourth proportional to 30,490.75, 45,688.92 and 21,148.93 is: 31,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.75 : 45,688.92 = 21,148.93 : x
  2. Step 2: Convert to fraction form
    30,490.75/45,688.92 = 21,148.93/x
  3. Step 3: Cross multiply
    30,490.75x = 45,688.92 × 21,148.93
  4. Step 4: Simplify right side
    30,490.75x = 966,271,770.86
  5. Step 5: Solve for x
    x = 966,271,770.86/30,490.75
  6. Step 6: Final answer
    x = 31,690.65

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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.