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Finding the Fourth Proportional to 30,507.32, 45,751.20 and 15,714.28

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Solution

The fourth proportional to 30,507.32, 45,751.20 and 15,714.28 is: 23,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.32 : 45,751.20 = 15,714.28 : x
  2. Step 2: Convert to fraction form
    30,507.32/45,751.20 = 15,714.28/x
  3. Step 3: Cross multiply
    30,507.32x = 45,751.20 × 15,714.28
  4. Step 4: Simplify right side
    30,507.32x = 718,947,167.14
  5. Step 5: Solve for x
    x = 718,947,167.14/30,507.32
  6. Step 6: Final answer
    x = 23,566.38

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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.