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Finding the Fourth Proportional to 39,046.39, 53,884.05 and 21,141.40

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Solution

The fourth proportional to 39,046.39, 53,884.05 and 21,141.40 is: 29,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,046.39 : 53,884.05 = 21,141.40 : x
  2. Step 2: Convert to fraction form
    39,046.39/53,884.05 = 21,141.40/x
  3. Step 3: Cross multiply
    39,046.39x = 53,884.05 × 21,141.40
  4. Step 4: Simplify right side
    39,046.39x = 1,139,184,254.67
  5. Step 5: Solve for x
    x = 1,139,184,254.67/39,046.39
  6. Step 6: Final answer
    x = 29,175.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.