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Finding the Fourth Proportional to 32,254.47, 48,354.26 and 12,252.78

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Solution

The fourth proportional to 32,254.47, 48,354.26 and 12,252.78 is: 18,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.47 : 48,354.26 = 12,252.78 : x
  2. Step 2: Convert to fraction form
    32,254.47/48,354.26 = 12,252.78/x
  3. Step 3: Cross multiply
    32,254.47x = 48,354.26 × 12,252.78
  4. Step 4: Simplify right side
    32,254.47x = 592,474,048.58
  5. Step 5: Solve for x
    x = 592,474,048.58/32,254.47
  6. Step 6: Final answer
    x = 18,368.74

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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.