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Finding the Fourth Proportional to 30,881.15, 46,300.76 and 9,814.87

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Solution

The fourth proportional to 30,881.15, 46,300.76 and 9,814.87 is: 14,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.15 : 46,300.76 = 9,814.87 : x
  2. Step 2: Convert to fraction form
    30,881.15/46,300.76 = 9,814.87/x
  3. Step 3: Cross multiply
    30,881.15x = 46,300.76 × 9,814.87
  4. Step 4: Simplify right side
    30,881.15x = 454,436,041.12
  5. Step 5: Solve for x
    x = 454,436,041.12/30,881.15
  6. Step 6: Final answer
    x = 14,715.65

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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.