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Finding the Fourth Proportional to 52,038.95, 71,813.73 and 28,165.82

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Solution

The fourth proportional to 52,038.95, 71,813.73 and 28,165.82 is: 38,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.95 : 71,813.73 = 28,165.82 : x
  2. Step 2: Convert to fraction form
    52,038.95/71,813.73 = 28,165.82/x
  3. Step 3: Cross multiply
    52,038.95x = 71,813.73 × 28,165.82
  4. Step 4: Simplify right side
    52,038.95x = 2,022,692,233.64
  5. Step 5: Solve for x
    x = 2,022,692,233.64/52,038.95
  6. Step 6: Final answer
    x = 38,868.82

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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.