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Finding the Fourth Proportional to 82,827.32, 114,302.14 and 45,102.52

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Solution

The fourth proportional to 82,827.32, 114,302.14 and 45,102.52 is: 62,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827.32 : 114,302.14 = 45,102.52 : x
  2. Step 2: Convert to fraction form
    82,827.32/114,302.14 = 45,102.52/x
  3. Step 3: Cross multiply
    82,827.32x = 114,302.14 × 45,102.52
  4. Step 4: Simplify right side
    82,827.32x = 5,155,314,555.39
  5. Step 5: Solve for x
    x = 5,155,314,555.39/82,827.32
  6. Step 6: Final answer
    x = 62,241.72

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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.