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Finding the Fourth Proportional to 30,823.52, 46,235.04 and 16,024.80

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Solution

The fourth proportional to 30,823.52, 46,235.04 and 16,024.80 is: 24,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.52 : 46,235.04 = 16,024.80 : x
  2. Step 2: Convert to fraction form
    30,823.52/46,235.04 = 16,024.80/x
  3. Step 3: Cross multiply
    30,823.52x = 46,235.04 × 16,024.80
  4. Step 4: Simplify right side
    30,823.52x = 740,907,268.99
  5. Step 5: Solve for x
    x = 740,907,268.99/30,823.52
  6. Step 6: Final answer
    x = 24,037.08

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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.