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Finding the Fourth Proportional to 52,454.50, 72,365.54 and 36,548.17

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Solution

The fourth proportional to 52,454.50, 72,365.54 and 36,548.17 is: 50,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454.50 : 72,365.54 = 36,548.17 : x
  2. Step 2: Convert to fraction form
    52,454.50/72,365.54 = 36,548.17/x
  3. Step 3: Cross multiply
    52,454.50x = 72,365.54 × 36,548.17
  4. Step 4: Simplify right side
    52,454.50x = 2,644,827,965.78
  5. Step 5: Solve for x
    x = 2,644,827,965.78/52,454.50
  6. Step 6: Final answer
    x = 50,421.38

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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.