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Finding the Fourth Proportional to 30,714.49, 46,061.94 and 11,989.98

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Solution

The fourth proportional to 30,714.49, 46,061.94 and 11,989.98 is: 17,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.49 : 46,061.94 = 11,989.98 : x
  2. Step 2: Convert to fraction form
    30,714.49/46,061.94 = 11,989.98/x
  3. Step 3: Cross multiply
    30,714.49x = 46,061.94 × 11,989.98
  4. Step 4: Simplify right side
    30,714.49x = 552,281,739.36
  5. Step 5: Solve for x
    x = 552,281,739.36/30,714.49
  6. Step 6: Final answer
    x = 17,981.15

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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.