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Finding the Fourth Proportional to 52,509.96, 78,677.30 and 36,899.64

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Solution

The fourth proportional to 52,509.96, 78,677.30 and 36,899.64 is: 55,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.96 : 78,677.30 = 36,899.64 : x
  2. Step 2: Convert to fraction form
    52,509.96/78,677.30 = 36,899.64/x
  3. Step 3: Cross multiply
    52,509.96x = 78,677.30 × 36,899.64
  4. Step 4: Simplify right side
    52,509.96x = 2,903,164,046.17
  5. Step 5: Solve for x
    x = 2,903,164,046.17/52,509.96
  6. Step 6: Final answer
    x = 55,287.87

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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.