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Finding the Fourth Proportional to 83,014.16, 114,561.36 and 45,288.38

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Solution

The fourth proportional to 83,014.16, 114,561.36 and 45,288.38 is: 62,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.16 : 114,561.36 = 45,288.38 : x
  2. Step 2: Convert to fraction form
    83,014.16/114,561.36 = 45,288.38/x
  3. Step 3: Cross multiply
    83,014.16x = 114,561.36 × 45,288.38
  4. Step 4: Simplify right side
    83,014.16x = 5,188,298,405.00
  5. Step 5: Solve for x
    x = 5,188,298,405.00/83,014.16
  6. Step 6: Final answer
    x = 62,498.96

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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.