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Finding the Fourth Proportional to 52,140.95, 71,954.88 and 28,268

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Solution

The fourth proportional to 52,140.95, 71,954.88 and 28,268 is: 39,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140.95 : 71,954.88 = 28,268 : x
  2. Step 2: Convert to fraction form
    52,140.95/71,954.88 = 28,268/x
  3. Step 3: Cross multiply
    52,140.95x = 71,954.88 × 28,268
  4. Step 4: Simplify right side
    52,140.95x = 2,034,020,547.84
  5. Step 5: Solve for x
    x = 2,034,020,547.84/52,140.95
  6. Step 6: Final answer
    x = 39,010.04

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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.