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Finding the Fourth Proportional to 30,835, 46,258.98 and 12,367

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Solution

The fourth proportional to 30,835, 46,258.98 and 12,367 is: 18,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835 : 46,258.98 = 12,367 : x
  2. Step 2: Convert to fraction form
    30,835/46,258.98 = 12,367/x
  3. Step 3: Cross multiply
    30,835x = 46,258.98 × 12,367
  4. Step 4: Simplify right side
    30,835x = 572,084,805.66
  5. Step 5: Solve for x
    x = 572,084,805.66/30,835
  6. Step 6: Final answer
    x = 18,553.10

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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.