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Finding the Fourth Proportional to 30,473.51, 45,682.59 and 13,824.48

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Solution

The fourth proportional to 30,473.51, 45,682.59 and 13,824.48 is: 20,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,473.51 : 45,682.59 = 13,824.48 : x
  2. Step 2: Convert to fraction form
    30,473.51/45,682.59 = 13,824.48/x
  3. Step 3: Cross multiply
    30,473.51x = 45,682.59 × 13,824.48
  4. Step 4: Simplify right side
    30,473.51x = 631,538,166.01
  5. Step 5: Solve for x
    x = 631,538,166.01/30,473.51
  6. Step 6: Final answer
    x = 20,724.17

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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.