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Finding the Fourth Proportional to 30,496.33, 45,727.64 and 9,430.57

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Solution

The fourth proportional to 30,496.33, 45,727.64 and 9,430.57 is: 14,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.33 : 45,727.64 = 9,430.57 : x
  2. Step 2: Convert to fraction form
    30,496.33/45,727.64 = 9,430.57/x
  3. Step 3: Cross multiply
    30,496.33x = 45,727.64 × 9,430.57
  4. Step 4: Simplify right side
    30,496.33x = 431,237,434.16
  5. Step 5: Solve for x
    x = 431,237,434.16/30,496.33
  6. Step 6: Final answer
    x = 14,140.64

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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.