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Finding the Fourth Proportional to 37,946.10, 53,202.30 and 37,946.10

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Solution

The fourth proportional to 37,946.10, 53,202.30 and 37,946.10 is: 53,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,946.10 : 53,202.30 = 37,946.10 : x
  2. Step 2: Convert to fraction form
    37,946.10/53,202.30 = 37,946.10/x
  3. Step 3: Cross multiply
    37,946.10x = 53,202.30 × 37,946.10
  4. Step 4: Simplify right side
    37,946.10x = 2,018,819,796.03
  5. Step 5: Solve for x
    x = 2,018,819,796.03/37,946.10
  6. Step 6: Final answer
    x = 53,202.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.