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Finding the Fourth Proportional to 82,206.51, 113,433.60 and 45,903.52

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Solution

The fourth proportional to 82,206.51, 113,433.60 and 45,903.52 is: 63,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.51 : 113,433.60 = 45,903.52 : x
  2. Step 2: Convert to fraction form
    82,206.51/113,433.60 = 45,903.52/x
  3. Step 3: Cross multiply
    82,206.51x = 113,433.60 × 45,903.52
  4. Step 4: Simplify right side
    82,206.51x = 5,207,001,526.27
  5. Step 5: Solve for x
    x = 5,207,001,526.27/82,206.51
  6. Step 6: Final answer
    x = 63,340.50

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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.