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Finding the Fourth Proportional to 30,709.95, 46,035.76 and 12,001.98

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Solution

The fourth proportional to 30,709.95, 46,035.76 and 12,001.98 is: 17,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.95 : 46,035.76 = 12,001.98 : x
  2. Step 2: Convert to fraction form
    30,709.95/46,035.76 = 12,001.98/x
  3. Step 3: Cross multiply
    30,709.95x = 46,035.76 × 12,001.98
  4. Step 4: Simplify right side
    30,709.95x = 552,520,355.89
  5. Step 5: Solve for x
    x = 552,520,355.89/30,709.95
  6. Step 6: Final answer
    x = 17,991.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.