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Finding the Fourth Proportional to 83,016, 114,562.08 and 45,291.06

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Solution

The fourth proportional to 83,016, 114,562.08 and 45,291.06 is: 62,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,016 : 114,562.08 = 45,291.06 : x
  2. Step 2: Convert to fraction form
    83,016/114,562.08 = 45,291.06/x
  3. Step 3: Cross multiply
    83,016x = 114,562.08 × 45,291.06
  4. Step 4: Simplify right side
    83,016x = 5,188,638,039.00
  5. Step 5: Solve for x
    x = 5,188,638,039.00/83,016
  6. Step 6: Final answer
    x = 62,501.66

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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.