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Finding the Fourth Proportional to 65,303.14, 97,823.46 and 34,072.78

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Solution

The fourth proportional to 65,303.14, 97,823.46 and 34,072.78 is: 51,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,303.14 : 97,823.46 = 34,072.78 : x
  2. Step 2: Convert to fraction form
    65,303.14/97,823.46 = 34,072.78/x
  3. Step 3: Cross multiply
    65,303.14x = 97,823.46 × 34,072.78
  4. Step 4: Simplify right side
    65,303.14x = 3,333,117,231.42
  5. Step 5: Solve for x
    x = 3,333,117,231.42/65,303.14
  6. Step 6: Final answer
    x = 51,040.69

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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.