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Finding the Fourth Proportional to 52,038.51, 71,813.67 and 28,165.69

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Solution

The fourth proportional to 52,038.51, 71,813.67 and 28,165.69 is: 38,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.51 : 71,813.67 = 28,165.69 : x
  2. Step 2: Convert to fraction form
    52,038.51/71,813.67 = 28,165.69/x
  3. Step 3: Cross multiply
    52,038.51x = 71,813.67 × 28,165.69
  4. Step 4: Simplify right side
    52,038.51x = 2,022,681,426.15
  5. Step 5: Solve for x
    x = 2,022,681,426.15/52,038.51
  6. Step 6: Final answer
    x = 38,868.94

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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.