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Finding the Fourth Proportional to 53,830.95, 74,295.95 and 33,695.97

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Solution

The fourth proportional to 53,830.95, 74,295.95 and 33,695.97 is: 46,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.95 : 74,295.95 = 33,695.97 : x
  2. Step 2: Convert to fraction form
    53,830.95/74,295.95 = 33,695.97/x
  3. Step 3: Cross multiply
    53,830.95x = 74,295.95 × 33,695.97
  4. Step 4: Simplify right side
    53,830.95x = 2,503,473,933.84
  5. Step 5: Solve for x
    x = 2,503,473,933.84/53,830.95
  6. Step 6: Final answer
    x = 46,506.22

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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.