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Finding the Fourth Proportional to 75,830.55, 113,748.54 and 28,440.82

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Solution

The fourth proportional to 75,830.55, 113,748.54 and 28,440.82 is: 42,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830.55 : 113,748.54 = 28,440.82 : x
  2. Step 2: Convert to fraction form
    75,830.55/113,748.54 = 28,440.82/x
  3. Step 3: Cross multiply
    75,830.55x = 113,748.54 × 28,440.82
  4. Step 4: Simplify right side
    75,830.55x = 3,235,101,786.94
  5. Step 5: Solve for x
    x = 3,235,101,786.94/75,830.55
  6. Step 6: Final answer
    x = 42,662.25

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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.