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Finding the Fourth Proportional to 30,378.24, 41,922.24 and 17,804.16

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Solution

The fourth proportional to 30,378.24, 41,922.24 and 17,804.16 is: 24,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.24 : 41,922.24 = 17,804.16 : x
  2. Step 2: Convert to fraction form
    30,378.24/41,922.24 = 17,804.16/x
  3. Step 3: Cross multiply
    30,378.24x = 41,922.24 × 17,804.16
  4. Step 4: Simplify right side
    30,378.24x = 746,390,268.52
  5. Step 5: Solve for x
    x = 746,390,268.52/30,378.24
  6. Step 6: Final answer
    x = 24,569.90

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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.