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Finding the Fourth Proportional to 30,430.08, 45,636.48 and 9,653.04

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Solution

The fourth proportional to 30,430.08, 45,636.48 and 9,653.04 is: 14,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.08 : 45,636.48 = 9,653.04 : x
  2. Step 2: Convert to fraction form
    30,430.08/45,636.48 = 9,653.04/x
  3. Step 3: Cross multiply
    30,430.08x = 45,636.48 × 9,653.04
  4. Step 4: Simplify right side
    30,430.08x = 440,530,766.90
  5. Step 5: Solve for x
    x = 440,530,766.90/30,430.08
  6. Step 6: Final answer
    x = 14,476.82

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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.