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Finding the Fourth Proportional to 98,672.96, 136,165.92 and 53,960

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Solution

The fourth proportional to 98,672.96, 136,165.92 and 53,960 is: 74,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,672.96 : 136,165.92 = 53,960 : x
  2. Step 2: Convert to fraction form
    98,672.96/136,165.92 = 53,960/x
  3. Step 3: Cross multiply
    98,672.96x = 136,165.92 × 53,960
  4. Step 4: Simplify right side
    98,672.96x = 7,347,513,043.20
  5. Step 5: Solve for x
    x = 7,347,513,043.20/98,672.96
  6. Step 6: Final answer
    x = 74,463.29

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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.