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Finding the Fourth Proportional to 30,767.08, 46,152.84 and 11,045.80

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Solution

The fourth proportional to 30,767.08, 46,152.84 and 11,045.80 is: 16,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.08 : 46,152.84 = 11,045.80 : x
  2. Step 2: Convert to fraction form
    30,767.08/46,152.84 = 11,045.80/x
  3. Step 3: Cross multiply
    30,767.08x = 46,152.84 × 11,045.80
  4. Step 4: Simplify right side
    30,767.08x = 509,795,040.07
  5. Step 5: Solve for x
    x = 509,795,040.07/30,767.08
  6. Step 6: Final answer
    x = 16,569.50

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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.