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Finding the Fourth Proportional to 51,842.52, 77,760.54 and 26,875.08

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Solution

The fourth proportional to 51,842.52, 77,760.54 and 26,875.08 is: 40,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.52 : 77,760.54 = 26,875.08 : x
  2. Step 2: Convert to fraction form
    51,842.52/77,760.54 = 26,875.08/x
  3. Step 3: Cross multiply
    51,842.52x = 77,760.54 × 26,875.08
  4. Step 4: Simplify right side
    51,842.52x = 2,089,820,733.34
  5. Step 5: Solve for x
    x = 2,089,820,733.34/51,842.52
  6. Step 6: Final answer
    x = 40,310.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.