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Finding the Fourth Proportional to 51,030.48, 76,512.48 and 17,748

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Solution

The fourth proportional to 51,030.48, 76,512.48 and 17,748 is: 26,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030.48 : 76,512.48 = 17,748 : x
  2. Step 2: Convert to fraction form
    51,030.48/76,512.48 = 17,748/x
  3. Step 3: Cross multiply
    51,030.48x = 76,512.48 × 17,748
  4. Step 4: Simplify right side
    51,030.48x = 1,357,943,495.04
  5. Step 5: Solve for x
    x = 1,357,943,495.04/51,030.48
  6. Step 6: Final answer
    x = 26,610.44

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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.