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Finding the Fourth Proportional to 30,823.60, 46,235.40 and 23,047.60

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Solution

The fourth proportional to 30,823.60, 46,235.40 and 23,047.60 is: 34,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.60 : 46,235.40 = 23,047.60 : x
  2. Step 2: Convert to fraction form
    30,823.60/46,235.40 = 23,047.60/x
  3. Step 3: Cross multiply
    30,823.60x = 46,235.40 × 23,047.60
  4. Step 4: Simplify right side
    30,823.60x = 1,065,615,005.04
  5. Step 5: Solve for x
    x = 1,065,615,005.04/30,823.60
  6. Step 6: Final answer
    x = 34,571.40

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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.