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Finding the Fourth Proportional to 30,815.32, 46,229.94 and 9,756.64

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Solution

The fourth proportional to 30,815.32, 46,229.94 and 9,756.64 is: 14,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.32 : 46,229.94 = 9,756.64 : x
  2. Step 2: Convert to fraction form
    30,815.32/46,229.94 = 9,756.64/x
  3. Step 3: Cross multiply
    30,815.32x = 46,229.94 × 9,756.64
  4. Step 4: Simplify right side
    30,815.32x = 451,048,881.80
  5. Step 5: Solve for x
    x = 451,048,881.80/30,815.32
  6. Step 6: Final answer
    x = 14,637.16

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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.