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Finding the Fourth Proportional to 98,513.52, 135,948.64 and 53,801.52

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Solution

The fourth proportional to 98,513.52, 135,948.64 and 53,801.52 is: 74,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,513.52 : 135,948.64 = 53,801.52 : x
  2. Step 2: Convert to fraction form
    98,513.52/135,948.64 = 53,801.52/x
  3. Step 3: Cross multiply
    98,513.52x = 135,948.64 × 53,801.52
  4. Step 4: Simplify right side
    98,513.52x = 7,314,243,473.93
  5. Step 5: Solve for x
    x = 7,314,243,473.93/98,513.52
  6. Step 6: Final answer
    x = 74,246.09

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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.