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Finding the Fourth Proportional to 35,509.70, 49,002.21 and 19,594.16

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Solution

The fourth proportional to 35,509.70, 49,002.21 and 19,594.16 is: 27,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.70 : 49,002.21 = 19,594.16 : x
  2. Step 2: Convert to fraction form
    35,509.70/49,002.21 = 19,594.16/x
  3. Step 3: Cross multiply
    35,509.70x = 49,002.21 × 19,594.16
  4. Step 4: Simplify right side
    35,509.70x = 960,157,143.09
  5. Step 5: Solve for x
    x = 960,157,143.09/35,509.70
  6. Step 6: Final answer
    x = 27,039.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.