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Finding the Fourth Proportional to 30,986.50, 46,487.04 and 10,210

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Solution

The fourth proportional to 30,986.50, 46,487.04 and 10,210 is: 15,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.50 : 46,487.04 = 10,210 : x
  2. Step 2: Convert to fraction form
    30,986.50/46,487.04 = 10,210/x
  3. Step 3: Cross multiply
    30,986.50x = 46,487.04 × 10,210
  4. Step 4: Simplify right side
    30,986.50x = 474,632,678.40
  5. Step 5: Solve for x
    x = 474,632,678.40/30,986.50
  6. Step 6: Final answer
    x = 15,317.40

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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.