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Finding the Fourth Proportional to 98,571.60, 147,855.22 and 27,492.35

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Solution

The fourth proportional to 98,571.60, 147,855.22 and 27,492.35 is: 41,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.60 : 147,855.22 = 27,492.35 : x
  2. Step 2: Convert to fraction form
    98,571.60/147,855.22 = 27,492.35/x
  3. Step 3: Cross multiply
    98,571.60x = 147,855.22 × 27,492.35
  4. Step 4: Simplify right side
    98,571.60x = 4,064,886,649.56
  5. Step 5: Solve for x
    x = 4,064,886,649.56/98,571.60
  6. Step 6: Final answer
    x = 41,237.91

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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.