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Finding the Fourth Proportional to 30,776.61, 46,143.05 and 15,788.25

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Solution

The fourth proportional to 30,776.61, 46,143.05 and 15,788.25 is: 23,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.61 : 46,143.05 = 15,788.25 : x
  2. Step 2: Convert to fraction form
    30,776.61/46,143.05 = 15,788.25/x
  3. Step 3: Cross multiply
    30,776.61x = 46,143.05 × 15,788.25
  4. Step 4: Simplify right side
    30,776.61x = 728,517,930.22
  5. Step 5: Solve for x
    x = 728,517,930.22/30,776.61
  6. Step 6: Final answer
    x = 23,671.16

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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.