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Finding the Fourth Proportional to 99,529.75, 149,294.63 and 25,657.75

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Solution

The fourth proportional to 99,529.75, 149,294.63 and 25,657.75 is: 38,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,529.75 : 149,294.63 = 25,657.75 : x
  2. Step 2: Convert to fraction form
    99,529.75/149,294.63 = 25,657.75/x
  3. Step 3: Cross multiply
    99,529.75x = 149,294.63 × 25,657.75
  4. Step 4: Simplify right side
    99,529.75x = 3,830,564,292.88
  5. Step 5: Solve for x
    x = 3,830,564,292.88/99,529.75
  6. Step 6: Final answer
    x = 38,486.63

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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.