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Finding the Fourth Proportional to 37,419.70, 51,648.06 and 21,513.40

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Solution

The fourth proportional to 37,419.70, 51,648.06 and 21,513.40 is: 29,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419.70 : 51,648.06 = 21,513.40 : x
  2. Step 2: Convert to fraction form
    37,419.70/51,648.06 = 21,513.40/x
  3. Step 3: Cross multiply
    37,419.70x = 51,648.06 × 21,513.40
  4. Step 4: Simplify right side
    37,419.70x = 1,111,125,374.00
  5. Step 5: Solve for x
    x = 1,111,125,374.00/37,419.70
  6. Step 6: Final answer
    x = 29,693.59

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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.