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Finding the Fourth Proportional to 32,254.63, 48,384.99 and 12,534.70

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Solution

The fourth proportional to 32,254.63, 48,384.99 and 12,534.70 is: 18,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.63 : 48,384.99 = 12,534.70 : x
  2. Step 2: Convert to fraction form
    32,254.63/48,384.99 = 12,534.70/x
  3. Step 3: Cross multiply
    32,254.63x = 48,384.99 × 12,534.70
  4. Step 4: Simplify right side
    32,254.63x = 606,491,334.15
  5. Step 5: Solve for x
    x = 606,491,334.15/32,254.63
  6. Step 6: Final answer
    x = 18,803.23

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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.