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Finding the Fourth Proportional to 102,510.50, 153,791.68 and 28,638.50

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Solution

The fourth proportional to 102,510.50, 153,791.68 and 28,638.50 is: 42,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510.50 : 153,791.68 = 28,638.50 : x
  2. Step 2: Convert to fraction form
    102,510.50/153,791.68 = 28,638.50/x
  3. Step 3: Cross multiply
    102,510.50x = 153,791.68 × 28,638.50
  4. Step 4: Simplify right side
    102,510.50x = 4,404,363,027.68
  5. Step 5: Solve for x
    x = 4,404,363,027.68/102,510.50
  6. Step 6: Final answer
    x = 42,964.99

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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.