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Finding the Fourth Proportional to 115,452.92, 159,323.49 and 64,466.51

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Solution

The fourth proportional to 115,452.92, 159,323.49 and 64,466.51 is: 88,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,452.92 : 159,323.49 = 64,466.51 : x
  2. Step 2: Convert to fraction form
    115,452.92/159,323.49 = 64,466.51/x
  3. Step 3: Cross multiply
    115,452.92x = 159,323.49 × 64,466.51
  4. Step 4: Simplify right side
    115,452.92x = 10,271,029,361.32
  5. Step 5: Solve for x
    x = 10,271,029,361.32/115,452.92
  6. Step 6: Final answer
    x = 88,962.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.