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Finding the Fourth Proportional to 30,754.65, 46,094.60 and 16,681.31

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Solution

The fourth proportional to 30,754.65, 46,094.60 and 16,681.31 is: 25,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.65 : 46,094.60 = 16,681.31 : x
  2. Step 2: Convert to fraction form
    30,754.65/46,094.60 = 16,681.31/x
  3. Step 3: Cross multiply
    30,754.65x = 46,094.60 × 16,681.31
  4. Step 4: Simplify right side
    30,754.65x = 768,917,998.05
  5. Step 5: Solve for x
    x = 768,917,998.05/30,754.65
  6. Step 6: Final answer
    x = 25,001.68

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1.5x scale

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.