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Finding the Fourth Proportional to 30,473.84, 45,714.36 and 12,933.92

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Solution

The fourth proportional to 30,473.84, 45,714.36 and 12,933.92 is: 19,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,473.84 : 45,714.36 = 12,933.92 : x
  2. Step 2: Convert to fraction form
    30,473.84/45,714.36 = 12,933.92/x
  3. Step 3: Cross multiply
    30,473.84x = 45,714.36 × 12,933.92
  4. Step 4: Simplify right side
    30,473.84x = 591,265,875.09
  5. Step 5: Solve for x
    x = 591,265,875.09/30,473.84
  6. Step 6: Final answer
    x = 19,402.41

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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.