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Finding the Fourth Proportional to 32,406.40, 44,719.32 and 21,794.32

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Solution

The fourth proportional to 32,406.40, 44,719.32 and 21,794.32 is: 30,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.40 : 44,719.32 = 21,794.32 : x
  2. Step 2: Convert to fraction form
    32,406.40/44,719.32 = 21,794.32/x
  3. Step 3: Cross multiply
    32,406.40x = 44,719.32 × 21,794.32
  4. Step 4: Simplify right side
    32,406.40x = 974,627,170.26
  5. Step 5: Solve for x
    x = 974,627,170.26/32,406.40
  6. Step 6: Final answer
    x = 30,075.14

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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.