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Finding the Fourth Proportional to 30,518.43, 45,784.79 and 9,457.37

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Solution

The fourth proportional to 30,518.43, 45,784.79 and 9,457.37 is: 14,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518.43 : 45,784.79 = 9,457.37 : x
  2. Step 2: Convert to fraction form
    30,518.43/45,784.79 = 9,457.37/x
  3. Step 3: Cross multiply
    30,518.43x = 45,784.79 × 9,457.37
  4. Step 4: Simplify right side
    30,518.43x = 433,003,594.88
  5. Step 5: Solve for x
    x = 433,003,594.88/30,518.43
  6. Step 6: Final answer
    x = 14,188.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.