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Finding the Fourth Proportional to 30,507.30, 45,751.23 and 15,714.27

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Solution

The fourth proportional to 30,507.30, 45,751.23 and 15,714.27 is: 23,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.30 : 45,751.23 = 15,714.27 : x
  2. Step 2: Convert to fraction form
    30,507.30/45,751.23 = 15,714.27/x
  3. Step 3: Cross multiply
    30,507.30x = 45,751.23 × 15,714.27
  4. Step 4: Simplify right side
    30,507.30x = 718,947,181.05
  5. Step 5: Solve for x
    x = 718,947,181.05/30,507.30
  6. Step 6: Final answer
    x = 23,566.40

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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.