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Finding the Fourth Proportional to 32,428.95, 48,639.77 and 8,738.25

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Solution

The fourth proportional to 32,428.95, 48,639.77 and 8,738.25 is: 13,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.95 : 48,639.77 = 8,738.25 : x
  2. Step 2: Convert to fraction form
    32,428.95/48,639.77 = 8,738.25/x
  3. Step 3: Cross multiply
    32,428.95x = 48,639.77 × 8,738.25
  4. Step 4: Simplify right side
    32,428.95x = 425,026,470.20
  5. Step 5: Solve for x
    x = 425,026,470.20/32,428.95
  6. Step 6: Final answer
    x = 13,106.39

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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.