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Finding the Fourth Proportional to 83,001, 114,541.75 and 45,276.06

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Solution

The fourth proportional to 83,001, 114,541.75 and 45,276.06 is: 62,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001 : 114,541.75 = 45,276.06 : x
  2. Step 2: Convert to fraction form
    83,001/114,541.75 = 45,276.06/x
  3. Step 3: Cross multiply
    83,001x = 114,541.75 × 45,276.06
  4. Step 4: Simplify right side
    83,001x = 5,185,999,145.51
  5. Step 5: Solve for x
    x = 5,185,999,145.51/83,001
  6. Step 6: Final answer
    x = 62,481.16

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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.