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Finding the Fourth Proportional to 30,489.72, 45,742.81 and 12,714.50

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Solution

The fourth proportional to 30,489.72, 45,742.81 and 12,714.50 is: 19,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.72 : 45,742.81 = 12,714.50 : x
  2. Step 2: Convert to fraction form
    30,489.72/45,742.81 = 12,714.50/x
  3. Step 3: Cross multiply
    30,489.72x = 45,742.81 × 12,714.50
  4. Step 4: Simplify right side
    30,489.72x = 581,597,064.16
  5. Step 5: Solve for x
    x = 581,597,064.16/30,489.72
  6. Step 6: Final answer
    x = 19,075.19

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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.