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Finding the Fourth Proportional to 97,846.37, 135,030.18 and 54,829.07

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Solution

The fourth proportional to 97,846.37, 135,030.18 and 54,829.07 is: 75,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846.37 : 135,030.18 = 54,829.07 : x
  2. Step 2: Convert to fraction form
    97,846.37/135,030.18 = 54,829.07/x
  3. Step 3: Cross multiply
    97,846.37x = 135,030.18 × 54,829.07
  4. Step 4: Simplify right side
    97,846.37x = 7,403,578,516.18
  5. Step 5: Solve for x
    x = 7,403,578,516.18/97,846.37
  6. Step 6: Final answer
    x = 75,665.34

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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.