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Finding the Fourth Proportional to 30,773.95, 46,168.72 and 8,587.32

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Solution

The fourth proportional to 30,773.95, 46,168.72 and 8,587.32 is: 12,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.95 : 46,168.72 = 8,587.32 : x
  2. Step 2: Convert to fraction form
    30,773.95/46,168.72 = 8,587.32/x
  3. Step 3: Cross multiply
    30,773.95x = 46,168.72 × 8,587.32
  4. Step 4: Simplify right side
    30,773.95x = 396,465,572.63
  5. Step 5: Solve for x
    x = 396,465,572.63/30,773.95
  6. Step 6: Final answer
    x = 12,883.16

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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.