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Finding the Fourth Proportional to 30,849.60, 46,281.60 and 16,060.80

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Solution

The fourth proportional to 30,849.60, 46,281.60 and 16,060.80 is: 24,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.60 : 46,281.60 = 16,060.80 : x
  2. Step 2: Convert to fraction form
    30,849.60/46,281.60 = 16,060.80/x
  3. Step 3: Cross multiply
    30,849.60x = 46,281.60 × 16,060.80
  4. Step 4: Simplify right side
    30,849.60x = 743,319,521.28
  5. Step 5: Solve for x
    x = 743,319,521.28/30,849.60
  6. Step 6: Final answer
    x = 24,094.95

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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.