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Finding the Fourth Proportional to 57,875.28, 86,862.08 and 41,276

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Solution

The fourth proportional to 57,875.28, 86,862.08 and 41,276 is: 61,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,875.28 : 86,862.08 = 41,276 : x
  2. Step 2: Convert to fraction form
    57,875.28/86,862.08 = 41,276/x
  3. Step 3: Cross multiply
    57,875.28x = 86,862.08 × 41,276
  4. Step 4: Simplify right side
    57,875.28x = 3,585,319,214.08
  5. Step 5: Solve for x
    x = 3,585,319,214.08/57,875.28
  6. Step 6: Final answer
    x = 61,949.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.