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Finding the Fourth Proportional to 52,189.34, 78,289.11 and 14,749.70

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Solution

The fourth proportional to 52,189.34, 78,289.11 and 14,749.70 is: 22,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,189.34 : 78,289.11 = 14,749.70 : x
  2. Step 2: Convert to fraction form
    52,189.34/78,289.11 = 14,749.70/x
  3. Step 3: Cross multiply
    52,189.34x = 78,289.11 × 14,749.70
  4. Step 4: Simplify right side
    52,189.34x = 1,154,740,494.32
  5. Step 5: Solve for x
    x = 1,154,740,494.32/52,189.34
  6. Step 6: Final answer
    x = 22,125.99

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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.