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Finding the Fourth Proportional to 32,411.46, 48,597.75 and 12,666.50

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Solution

The fourth proportional to 32,411.46, 48,597.75 and 12,666.50 is: 18,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.46 : 48,597.75 = 12,666.50 : x
  2. Step 2: Convert to fraction form
    32,411.46/48,597.75 = 12,666.50/x
  3. Step 3: Cross multiply
    32,411.46x = 48,597.75 × 12,666.50
  4. Step 4: Simplify right side
    32,411.46x = 615,563,157.39
  5. Step 5: Solve for x
    x = 615,563,157.39/32,411.46
  6. Step 6: Final answer
    x = 18,992.15

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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.