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Finding the Fourth Proportional to 98,429.58, 135,832.77 and 53,717.58

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Solution

The fourth proportional to 98,429.58, 135,832.77 and 53,717.58 is: 74,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,429.58 : 135,832.77 = 53,717.58 : x
  2. Step 2: Convert to fraction form
    98,429.58/135,832.77 = 53,717.58/x
  3. Step 3: Cross multiply
    98,429.58x = 135,832.77 × 53,717.58
  4. Step 4: Simplify right side
    98,429.58x = 7,296,607,689.10
  5. Step 5: Solve for x
    x = 7,296,607,689.10/98,429.58
  6. Step 6: Final answer
    x = 74,130.23

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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.