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Finding the Fourth Proportional to 30,490.16, 45,737.98 and 8,303.64

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Solution

The fourth proportional to 30,490.16, 45,737.98 and 8,303.64 is: 12,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.16 : 45,737.98 = 8,303.64 : x
  2. Step 2: Convert to fraction form
    30,490.16/45,737.98 = 8,303.64/x
  3. Step 3: Cross multiply
    30,490.16x = 45,737.98 × 8,303.64
  4. Step 4: Simplify right side
    30,490.16x = 379,791,720.25
  5. Step 5: Solve for x
    x = 379,791,720.25/30,490.16
  6. Step 6: Final answer
    x = 12,456.21

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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.