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Finding the Fourth Proportional to 23,531.40, 35,297.10 and 19,643.40

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Solution

The fourth proportional to 23,531.40, 35,297.10 and 19,643.40 is: 29,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.40 : 35,297.10 = 19,643.40 : x
  2. Step 2: Convert to fraction form
    23,531.40/35,297.10 = 19,643.40/x
  3. Step 3: Cross multiply
    23,531.40x = 35,297.10 × 19,643.40
  4. Step 4: Simplify right side
    23,531.40x = 693,355,054.14
  5. Step 5: Solve for x
    x = 693,355,054.14/23,531.40
  6. Step 6: Final answer
    x = 29,465.10

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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.