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Finding the Fourth Proportional to 37,298, 55,938.40 and 10,643.48

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Solution

The fourth proportional to 37,298, 55,938.40 and 10,643.48 is: 15,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298 : 55,938.40 = 10,643.48 : x
  2. Step 2: Convert to fraction form
    37,298/55,938.40 = 10,643.48/x
  3. Step 3: Cross multiply
    37,298x = 55,938.40 × 10,643.48
  4. Step 4: Simplify right side
    37,298x = 595,379,241.63
  5. Step 5: Solve for x
    x = 595,379,241.63/37,298
  6. Step 6: Final answer
    x = 15,962.77

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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.