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Finding the Fourth Proportional to 30,970.35, 46,473.75 and 12,252.20

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Solution

The fourth proportional to 30,970.35, 46,473.75 and 12,252.20 is: 18,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.35 : 46,473.75 = 12,252.20 : x
  2. Step 2: Convert to fraction form
    30,970.35/46,473.75 = 12,252.20/x
  3. Step 3: Cross multiply
    30,970.35x = 46,473.75 × 12,252.20
  4. Step 4: Simplify right side
    30,970.35x = 569,405,447.38
  5. Step 5: Solve for x
    x = 569,405,447.38/30,970.35
  6. Step 6: Final answer
    x = 18,385.50

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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.