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Finding the Fourth Proportional to 117,289.48, 175,934.36 and 28,543

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Solution

The fourth proportional to 117,289.48, 175,934.36 and 28,543 is: 42,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,289.48 : 175,934.36 = 28,543 : x
  2. Step 2: Convert to fraction form
    117,289.48/175,934.36 = 28,543/x
  3. Step 3: Cross multiply
    117,289.48x = 175,934.36 × 28,543
  4. Step 4: Simplify right side
    117,289.48x = 5,021,694,437.48
  5. Step 5: Solve for x
    x = 5,021,694,437.48/117,289.48
  6. Step 6: Final answer
    x = 42,814.53

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