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Finding the Fourth Proportional to 98,553.34, 147,742.26 and 36,209.26

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Solution

The fourth proportional to 98,553.34, 147,742.26 and 36,209.26 is: 54,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,553.34 : 147,742.26 = 36,209.26 : x
  2. Step 2: Convert to fraction form
    98,553.34/147,742.26 = 36,209.26/x
  3. Step 3: Cross multiply
    98,553.34x = 147,742.26 × 36,209.26
  4. Step 4: Simplify right side
    98,553.34x = 5,349,637,905.33
  5. Step 5: Solve for x
    x = 5,349,637,905.33/98,553.34
  6. Step 6: Final answer
    x = 54,281.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.