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Finding the Fourth Proportional to 98,411.64, 135,815.58 and 55,967.64

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Solution

The fourth proportional to 98,411.64, 135,815.58 and 55,967.64 is: 77,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.64 : 135,815.58 = 55,967.64 : x
  2. Step 2: Convert to fraction form
    98,411.64/135,815.58 = 55,967.64/x
  3. Step 3: Cross multiply
    98,411.64x = 135,815.58 × 55,967.64
  4. Step 4: Simplify right side
    98,411.64x = 7,601,277,487.83
  5. Step 5: Solve for x
    x = 7,601,277,487.83/98,411.64
  6. Step 6: Final answer
    x = 77,239.62

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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.