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Finding the Fourth Proportional to 83,708.77, 115,518.90 and 45,983.02

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Solution

The fourth proportional to 83,708.77, 115,518.90 and 45,983.02 is: 63,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,708.77 : 115,518.90 = 45,983.02 : x
  2. Step 2: Convert to fraction form
    83,708.77/115,518.90 = 45,983.02/x
  3. Step 3: Cross multiply
    83,708.77x = 115,518.90 × 45,983.02
  4. Step 4: Simplify right side
    83,708.77x = 5,311,907,889.08
  5. Step 5: Solve for x
    x = 5,311,907,889.08/83,708.77
  6. Step 6: Final answer
    x = 63,457.01

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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.