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Finding the Fourth Proportional to 52,032, 71,804.38 and 28,158.67

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Solution

The fourth proportional to 52,032, 71,804.38 and 28,158.67 is: 38,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032 : 71,804.38 = 28,158.67 : x
  2. Step 2: Convert to fraction form
    52,032/71,804.38 = 28,158.67/x
  3. Step 3: Cross multiply
    52,032x = 71,804.38 × 28,158.67
  4. Step 4: Simplify right side
    52,032x = 2,021,915,840.97
  5. Step 5: Solve for x
    x = 2,021,915,840.97/52,032
  6. Step 6: Final answer
    x = 38,859.08

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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.