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Finding the Fourth Proportional to 98,558, 136,010.04 and 53,846

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Solution

The fourth proportional to 98,558, 136,010.04 and 53,846 is: 74,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,558 : 136,010.04 = 53,846 : x
  2. Step 2: Convert to fraction form
    98,558/136,010.04 = 53,846/x
  3. Step 3: Cross multiply
    98,558x = 136,010.04 × 53,846
  4. Step 4: Simplify right side
    98,558x = 7,323,596,613.84
  5. Step 5: Solve for x
    x = 7,323,596,613.84/98,558
  6. Step 6: Final answer
    x = 74,307.48

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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.