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Finding the Fourth Proportional to 82,959.58, 114,483.96 and 45,233.84

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Solution

The fourth proportional to 82,959.58, 114,483.96 and 45,233.84 is: 62,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.58 : 114,483.96 = 45,233.84 : x
  2. Step 2: Convert to fraction form
    82,959.58/114,483.96 = 45,233.84/x
  3. Step 3: Cross multiply
    82,959.58x = 114,483.96 × 45,233.84
  4. Step 4: Simplify right side
    82,959.58x = 5,178,549,129.21
  5. Step 5: Solve for x
    x = 5,178,549,129.21/82,959.58
  6. Step 6: Final answer
    x = 62,422.56

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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.