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Finding the Fourth Proportional to 52,460.87, 78,662.13 and 21,259.67

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Solution

The fourth proportional to 52,460.87, 78,662.13 and 21,259.67 is: 31,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,460.87 : 78,662.13 = 21,259.67 : x
  2. Step 2: Convert to fraction form
    52,460.87/78,662.13 = 21,259.67/x
  3. Step 3: Cross multiply
    52,460.87x = 78,662.13 × 21,259.67
  4. Step 4: Simplify right side
    52,460.87x = 1,672,330,925.30
  5. Step 5: Solve for x
    x = 1,672,330,925.30/52,460.87
  6. Step 6: Final answer
    x = 31,877.68

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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.