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Finding the Fourth Proportional to 38,497.60, 57,746.40 and 32,665.60

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Solution

The fourth proportional to 38,497.60, 57,746.40 and 32,665.60 is: 48,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.60 : 57,746.40 = 32,665.60 : x
  2. Step 2: Convert to fraction form
    38,497.60/57,746.40 = 32,665.60/x
  3. Step 3: Cross multiply
    38,497.60x = 57,746.40 × 32,665.60
  4. Step 4: Simplify right side
    38,497.60x = 1,886,320,803.84
  5. Step 5: Solve for x
    x = 1,886,320,803.84/38,497.60
  6. Step 6: Final answer
    x = 48,998.40

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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.