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Finding the Fourth Proportional to 82,852.48, 114,336.96 and 45,126.88

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Solution

The fourth proportional to 82,852.48, 114,336.96 and 45,126.88 is: 62,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.48 : 114,336.96 = 45,126.88 : x
  2. Step 2: Convert to fraction form
    82,852.48/114,336.96 = 45,126.88/x
  3. Step 3: Cross multiply
    82,852.48x = 114,336.96 × 45,126.88
  4. Step 4: Simplify right side
    82,852.48x = 5,159,670,273.48
  5. Step 5: Solve for x
    x = 5,159,670,273.48/82,852.48
  6. Step 6: Final answer
    x = 62,275.39

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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.