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Finding the Fourth Proportional to 31,410.40, 47,192.40 and 23,634.40

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Solution

The fourth proportional to 31,410.40, 47,192.40 and 23,634.40 is: 35,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.40 : 47,192.40 = 23,634.40 : x
  2. Step 2: Convert to fraction form
    31,410.40/47,192.40 = 23,634.40/x
  3. Step 3: Cross multiply
    31,410.40x = 47,192.40 × 23,634.40
  4. Step 4: Simplify right side
    31,410.40x = 1,115,364,058.56
  5. Step 5: Solve for x
    x = 1,115,364,058.56/31,410.40
  6. Step 6: Final answer
    x = 35,509.39

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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.