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Finding the Fourth Proportional to 82,900.28, 114,402.35 and 45,174.53

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Solution

The fourth proportional to 82,900.28, 114,402.35 and 45,174.53 is: 62,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,900.28 : 114,402.35 = 45,174.53 : x
  2. Step 2: Convert to fraction form
    82,900.28/114,402.35 = 45,174.53/x
  3. Step 3: Cross multiply
    82,900.28x = 114,402.35 × 45,174.53
  4. Step 4: Simplify right side
    82,900.28x = 5,168,071,594.26
  5. Step 5: Solve for x
    x = 5,168,071,594.26/82,900.28
  6. Step 6: Final answer
    x = 62,340.83

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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.