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Finding the Fourth Proportional to 30,703.65, 46,076.62 and 10,713.25

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Solution

The fourth proportional to 30,703.65, 46,076.62 and 10,713.25 is: 16,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.65 : 46,076.62 = 10,713.25 : x
  2. Step 2: Convert to fraction form
    30,703.65/46,076.62 = 10,713.25/x
  3. Step 3: Cross multiply
    30,703.65x = 46,076.62 × 10,713.25
  4. Step 4: Simplify right side
    30,703.65x = 493,630,349.22
  5. Step 5: Solve for x
    x = 493,630,349.22/30,703.65
  6. Step 6: Final answer
    x = 16,077.25

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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.