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Finding the Fourth Proportional to 40,507, 55,901.82 and 23,745.40

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Solution

The fourth proportional to 40,507, 55,901.82 and 23,745.40 is: 32,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,507 : 55,901.82 = 23,745.40 : x
  2. Step 2: Convert to fraction form
    40,507/55,901.82 = 23,745.40/x
  3. Step 3: Cross multiply
    40,507x = 55,901.82 × 23,745.40
  4. Step 4: Simplify right side
    40,507x = 1,327,411,076.63
  5. Step 5: Solve for x
    x = 1,327,411,076.63/40,507
  6. Step 6: Final answer
    x = 32,769.92

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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.