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Finding the Fourth Proportional to 32,254.13, 48,384.25 and 12,534.21

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Solution

The fourth proportional to 32,254.13, 48,384.25 and 12,534.21 is: 18,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.13 : 48,384.25 = 12,534.21 : x
  2. Step 2: Convert to fraction form
    32,254.13/48,384.25 = 12,534.21/x
  3. Step 3: Cross multiply
    32,254.13x = 48,384.25 × 12,534.21
  4. Step 4: Simplify right side
    32,254.13x = 606,458,045.60
  5. Step 5: Solve for x
    x = 606,458,045.60/32,254.13
  6. Step 6: Final answer
    x = 18,802.49

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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.