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Finding the Fourth Proportional to 28,174.50, 42,276.33 and 14,323.50

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Solution

The fourth proportional to 28,174.50, 42,276.33 and 14,323.50 is: 21,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,174.50 : 42,276.33 = 14,323.50 : x
  2. Step 2: Convert to fraction form
    28,174.50/42,276.33 = 14,323.50/x
  3. Step 3: Cross multiply
    28,174.50x = 42,276.33 × 14,323.50
  4. Step 4: Simplify right side
    28,174.50x = 605,545,012.76
  5. Step 5: Solve for x
    x = 605,545,012.76/28,174.50
  6. Step 6: Final answer
    x = 21,492.66

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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.