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Finding the Fourth Proportional to 30,737, 46,125.98 and 11,281

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Solution

The fourth proportional to 30,737, 46,125.98 and 11,281 is: 16,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737 : 46,125.98 = 11,281 : x
  2. Step 2: Convert to fraction form
    30,737/46,125.98 = 11,281/x
  3. Step 3: Cross multiply
    30,737x = 46,125.98 × 11,281
  4. Step 4: Simplify right side
    30,737x = 520,347,180.38
  5. Step 5: Solve for x
    x = 520,347,180.38/30,737
  6. Step 6: Final answer
    x = 16,929.02

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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.