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Finding the Fourth Proportional to 30,703.20, 46,054.80 and 8,522.16

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Solution

The fourth proportional to 30,703.20, 46,054.80 and 8,522.16 is: 12,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.20 : 46,054.80 = 8,522.16 : x
  2. Step 2: Convert to fraction form
    30,703.20/46,054.80 = 8,522.16/x
  3. Step 3: Cross multiply
    30,703.20x = 46,054.80 × 8,522.16
  4. Step 4: Simplify right side
    30,703.20x = 392,486,374.37
  5. Step 5: Solve for x
    x = 392,486,374.37/30,703.20
  6. Step 6: Final answer
    x = 12,783.24

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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.