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Finding the Fourth Proportional to 53,854.69, 74,271.08 and 33,713.40

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Solution

The fourth proportional to 53,854.69, 74,271.08 and 33,713.40 is: 46,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854.69 : 74,271.08 = 33,713.40 : x
  2. Step 2: Convert to fraction form
    53,854.69/74,271.08 = 33,713.40/x
  3. Step 3: Cross multiply
    53,854.69x = 74,271.08 × 33,713.40
  4. Step 4: Simplify right side
    53,854.69x = 2,503,930,628.47
  5. Step 5: Solve for x
    x = 2,503,930,628.47/53,854.69
  6. Step 6: Final answer
    x = 46,494.20

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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.