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Finding the Fourth Proportional to 102,508.50, 153,788.67 and 28,636.50

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Solution

The fourth proportional to 102,508.50, 153,788.67 and 28,636.50 is: 42,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.50 : 153,788.67 = 28,636.50 : x
  2. Step 2: Convert to fraction form
    102,508.50/153,788.67 = 28,636.50/x
  3. Step 3: Cross multiply
    102,508.50x = 153,788.67 × 28,636.50
  4. Step 4: Simplify right side
    102,508.50x = 4,403,969,248.46
  5. Step 5: Solve for x
    x = 4,403,969,248.46/102,508.50
  6. Step 6: Final answer
    x = 42,961.99

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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.