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Finding the Fourth Proportional to 30,876.69, 46,319.34 and 9,814.50

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Solution

The fourth proportional to 30,876.69, 46,319.34 and 9,814.50 is: 14,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.69 : 46,319.34 = 9,814.50 : x
  2. Step 2: Convert to fraction form
    30,876.69/46,319.34 = 9,814.50/x
  3. Step 3: Cross multiply
    30,876.69x = 46,319.34 × 9,814.50
  4. Step 4: Simplify right side
    30,876.69x = 454,601,199.23
  5. Step 5: Solve for x
    x = 454,601,199.23/30,876.69
  6. Step 6: Final answer
    x = 14,723.12

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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.