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Finding the Fourth Proportional to 52,911.71, 73,015.86 and 29,038.78

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Solution

The fourth proportional to 52,911.71, 73,015.86 and 29,038.78 is: 40,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,911.71 : 73,015.86 = 29,038.78 : x
  2. Step 2: Convert to fraction form
    52,911.71/73,015.86 = 29,038.78/x
  3. Step 3: Cross multiply
    52,911.71x = 73,015.86 × 29,038.78
  4. Step 4: Simplify right side
    52,911.71x = 2,120,291,495.05
  5. Step 5: Solve for x
    x = 2,120,291,495.05/52,911.71
  6. Step 6: Final answer
    x = 40,072.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.