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Finding the Fourth Proportional to 39,122.52, 53,985.10 and 24,015.82

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Solution

The fourth proportional to 39,122.52, 53,985.10 and 24,015.82 is: 33,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,122.52 : 53,985.10 = 24,015.82 : x
  2. Step 2: Convert to fraction form
    39,122.52/53,985.10 = 24,015.82/x
  3. Step 3: Cross multiply
    39,122.52x = 53,985.10 × 24,015.82
  4. Step 4: Simplify right side
    39,122.52x = 1,296,496,444.28
  5. Step 5: Solve for x
    x = 1,296,496,444.28/39,122.52
  6. Step 6: Final answer
    x = 33,139.39

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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.