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Finding the Fourth Proportional to 34,282.31, 47,308.63 and 19,175

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Solution

The fourth proportional to 34,282.31, 47,308.63 and 19,175 is: 26,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282.31 : 47,308.63 = 19,175 : x
  2. Step 2: Convert to fraction form
    34,282.31/47,308.63 = 19,175/x
  3. Step 3: Cross multiply
    34,282.31x = 47,308.63 × 19,175
  4. Step 4: Simplify right side
    34,282.31x = 907,142,980.25
  5. Step 5: Solve for x
    x = 907,142,980.25/34,282.31
  6. Step 6: Final answer
    x = 26,460.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.