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Finding the Fourth Proportional to 30,474.63, 45,711.95 and 12,932.16

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Solution

The fourth proportional to 30,474.63, 45,711.95 and 12,932.16 is: 19,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.63 : 45,711.95 = 12,932.16 : x
  2. Step 2: Convert to fraction form
    30,474.63/45,711.95 = 12,932.16/x
  3. Step 3: Cross multiply
    30,474.63x = 45,711.95 × 12,932.16
  4. Step 4: Simplify right side
    30,474.63x = 591,154,015.23
  5. Step 5: Solve for x
    x = 591,154,015.23/30,474.63
  6. Step 6: Final answer
    x = 19,398.23

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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.