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Finding the Fourth Proportional to 64,813.51, 97,205.65 and 23,260.51

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Solution

The fourth proportional to 64,813.51, 97,205.65 and 23,260.51 is: 34,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,813.51 : 97,205.65 = 23,260.51 : x
  2. Step 2: Convert to fraction form
    64,813.51/97,205.65 = 23,260.51/x
  3. Step 3: Cross multiply
    64,813.51x = 97,205.65 × 23,260.51
  4. Step 4: Simplify right side
    64,813.51x = 2,261,052,993.88
  5. Step 5: Solve for x
    x = 2,261,052,993.88/64,813.51
  6. Step 6: Final answer
    x = 34,885.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.