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Finding the Fourth Proportional to 30,745.12, 46,124.16 and 9,967

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Solution

The fourth proportional to 30,745.12, 46,124.16 and 9,967 is: 14,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.12 : 46,124.16 = 9,967 : x
  2. Step 2: Convert to fraction form
    30,745.12/46,124.16 = 9,967/x
  3. Step 3: Cross multiply
    30,745.12x = 46,124.16 × 9,967
  4. Step 4: Simplify right side
    30,745.12x = 459,719,502.72
  5. Step 5: Solve for x
    x = 459,719,502.72/30,745.12
  6. Step 6: Final answer
    x = 14,952.60

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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.