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Finding the Fourth Proportional to 30,475.01, 45,684.84 and 13,825.98

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Solution

The fourth proportional to 30,475.01, 45,684.84 and 13,825.98 is: 20,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.01 : 45,684.84 = 13,825.98 : x
  2. Step 2: Convert to fraction form
    30,475.01/45,684.84 = 13,825.98/x
  3. Step 3: Cross multiply
    30,475.01x = 45,684.84 × 13,825.98
  4. Step 4: Simplify right side
    30,475.01x = 631,637,684.14
  5. Step 5: Solve for x
    x = 631,637,684.14/30,475.01
  6. Step 6: Final answer
    x = 20,726.41

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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.