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Finding the Fourth Proportional to 53,933.61, 74,411.88 and 31,268.08

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Solution

The fourth proportional to 53,933.61, 74,411.88 and 31,268.08 is: 43,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,933.61 : 74,411.88 = 31,268.08 : x
  2. Step 2: Convert to fraction form
    53,933.61/74,411.88 = 31,268.08/x
  3. Step 3: Cross multiply
    53,933.61x = 74,411.88 × 31,268.08
  4. Step 4: Simplify right side
    53,933.61x = 2,326,716,408.49
  5. Step 5: Solve for x
    x = 2,326,716,408.49/53,933.61
  6. Step 6: Final answer
    x = 43,140.38

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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.