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Finding the Fourth Proportional to 30,416.70, 45,626.66 and 9,641.82

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Solution

The fourth proportional to 30,416.70, 45,626.66 and 9,641.82 is: 14,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.70 : 45,626.66 = 9,641.82 : x
  2. Step 2: Convert to fraction form
    30,416.70/45,626.66 = 9,641.82/x
  3. Step 3: Cross multiply
    30,416.70x = 45,626.66 × 9,641.82
  4. Step 4: Simplify right side
    30,416.70x = 439,924,042.92
  5. Step 5: Solve for x
    x = 439,924,042.92/30,416.70
  6. Step 6: Final answer
    x = 14,463.24

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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.