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Finding the Fourth Proportional to 52,320.33, 78,491.43 and 17,284.59

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Solution

The fourth proportional to 52,320.33, 78,491.43 and 17,284.59 is: 25,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320.33 : 78,491.43 = 17,284.59 : x
  2. Step 2: Convert to fraction form
    52,320.33/78,491.43 = 17,284.59/x
  3. Step 3: Cross multiply
    52,320.33x = 78,491.43 × 17,284.59
  4. Step 4: Simplify right side
    52,320.33x = 1,356,692,186.06
  5. Step 5: Solve for x
    x = 1,356,692,186.06/52,320.33
  6. Step 6: Final answer
    x = 25,930.50

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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.