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Finding the Fourth Proportional to 76,944.34, 115,544.16 and 47,549.01

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Solution

The fourth proportional to 76,944.34, 115,544.16 and 47,549.01 is: 71,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944.34 : 115,544.16 = 47,549.01 : x
  2. Step 2: Convert to fraction form
    76,944.34/115,544.16 = 47,549.01/x
  3. Step 3: Cross multiply
    76,944.34x = 115,544.16 × 47,549.01
  4. Step 4: Simplify right side
    76,944.34x = 5,494,010,852.57
  5. Step 5: Solve for x
    x = 5,494,010,852.57/76,944.34
  6. Step 6: Final answer
    x = 71,402.40

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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.