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Finding the Fourth Proportional to 35,875.53, 53,813.12 and 9,221.49

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Solution

The fourth proportional to 35,875.53, 53,813.12 and 9,221.49 is: 13,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,875.53 : 53,813.12 = 9,221.49 : x
  2. Step 2: Convert to fraction form
    35,875.53/53,813.12 = 9,221.49/x
  3. Step 3: Cross multiply
    35,875.53x = 53,813.12 × 9,221.49
  4. Step 4: Simplify right side
    35,875.53x = 496,237,101.84
  5. Step 5: Solve for x
    x = 496,237,101.84/35,875.53
  6. Step 6: Final answer
    x = 13,832.19

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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.