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Finding the Fourth Proportional to 36,897.48, 50,886.90 and 24,309

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Solution

The fourth proportional to 36,897.48, 50,886.90 and 24,309 is: 33,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,897.48 : 50,886.90 = 24,309 : x
  2. Step 2: Convert to fraction form
    36,897.48/50,886.90 = 24,309/x
  3. Step 3: Cross multiply
    36,897.48x = 50,886.90 × 24,309
  4. Step 4: Simplify right side
    36,897.48x = 1,237,009,652.10
  5. Step 5: Solve for x
    x = 1,237,009,652.10/36,897.48
  6. Step 6: Final answer
    x = 33,525.59

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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.