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Finding the Fourth Proportional to 51,898.59, 77,828.75 and 18,610.63

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Solution

The fourth proportional to 51,898.59, 77,828.75 and 18,610.63 is: 27,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.59 : 77,828.75 = 18,610.63 : x
  2. Step 2: Convert to fraction form
    51,898.59/77,828.75 = 18,610.63/x
  3. Step 3: Cross multiply
    51,898.59x = 77,828.75 × 18,610.63
  4. Step 4: Simplify right side
    51,898.59x = 1,448,441,851.78
  5. Step 5: Solve for x
    x = 1,448,441,851.78/51,898.59
  6. Step 6: Final answer
    x = 27,909.08

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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.