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Finding the Fourth Proportional to 30,945.80, 46,426.23 and 9,885.81

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Solution

The fourth proportional to 30,945.80, 46,426.23 and 9,885.81 is: 14,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.80 : 46,426.23 = 9,885.81 : x
  2. Step 2: Convert to fraction form
    30,945.80/46,426.23 = 9,885.81/x
  3. Step 3: Cross multiply
    30,945.80x = 46,426.23 × 9,885.81
  4. Step 4: Simplify right side
    30,945.80x = 458,960,888.80
  5. Step 5: Solve for x
    x = 458,960,888.80/30,945.80
  6. Step 6: Final answer
    x = 14,831.12

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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.