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Finding the Fourth Proportional to 52,154.88, 71,973.63 and 28,281.48

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Solution

The fourth proportional to 52,154.88, 71,973.63 and 28,281.48 is: 39,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.88 : 71,973.63 = 28,281.48 : x
  2. Step 2: Convert to fraction form
    52,154.88/71,973.63 = 28,281.48/x
  3. Step 3: Cross multiply
    52,154.88x = 71,973.63 × 28,281.48
  4. Step 4: Simplify right side
    52,154.88x = 2,035,520,777.37
  5. Step 5: Solve for x
    x = 2,035,520,777.37/52,154.88
  6. Step 6: Final answer
    x = 39,028.39

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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.