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Finding the Fourth Proportional to 52,367.86, 78,522.03 and 35,748.01

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Solution

The fourth proportional to 52,367.86, 78,522.03 and 35,748.01 is: 53,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,367.86 : 78,522.03 = 35,748.01 : x
  2. Step 2: Convert to fraction form
    52,367.86/78,522.03 = 35,748.01/x
  3. Step 3: Cross multiply
    52,367.86x = 78,522.03 × 35,748.01
  4. Step 4: Simplify right side
    52,367.86x = 2,807,006,313.66
  5. Step 5: Solve for x
    x = 2,807,006,313.66/52,367.86
  6. Step 6: Final answer
    x = 53,601.70

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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.