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Finding the Fourth Proportional to 57,830.67, 86,746.10 and 16,277.67

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Solution

The fourth proportional to 57,830.67, 86,746.10 and 16,277.67 is: 24,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.67 : 86,746.10 = 16,277.67 : x
  2. Step 2: Convert to fraction form
    57,830.67/86,746.10 = 16,277.67/x
  3. Step 3: Cross multiply
    57,830.67x = 86,746.10 × 16,277.67
  4. Step 4: Simplify right side
    57,830.67x = 1,412,024,308.20
  5. Step 5: Solve for x
    x = 1,412,024,308.20/57,830.67
  6. Step 6: Final answer
    x = 24,416.53

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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.