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Finding the Fourth Proportional to 35,567.76, 53,357.40 and 10,938

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Solution

The fourth proportional to 35,567.76, 53,357.40 and 10,938 is: 16,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,567.76 : 53,357.40 = 10,938 : x
  2. Step 2: Convert to fraction form
    35,567.76/53,357.40 = 10,938/x
  3. Step 3: Cross multiply
    35,567.76x = 53,357.40 × 10,938
  4. Step 4: Simplify right side
    35,567.76x = 583,623,241.20
  5. Step 5: Solve for x
    x = 583,623,241.20/35,567.76
  6. Step 6: Final answer
    x = 16,408.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.