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Finding the Fourth Proportional to 30,848.32, 46,272.47 and 10,071.82

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Solution

The fourth proportional to 30,848.32, 46,272.47 and 10,071.82 is: 15,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848.32 : 46,272.47 = 10,071.82 : x
  2. Step 2: Convert to fraction form
    30,848.32/46,272.47 = 10,071.82/x
  3. Step 3: Cross multiply
    30,848.32x = 46,272.47 × 10,071.82
  4. Step 4: Simplify right side
    30,848.32x = 466,047,938.44
  5. Step 5: Solve for x
    x = 466,047,938.44/30,848.32
  6. Step 6: Final answer
    x = 15,107.73

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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.