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Finding the Fourth Proportional to 32,580.64, 48,836.76 and 13,856.32

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Solution

The fourth proportional to 32,580.64, 48,836.76 and 13,856.32 is: 20,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.64 : 48,836.76 = 13,856.32 : x
  2. Step 2: Convert to fraction form
    32,580.64/48,836.76 = 13,856.32/x
  3. Step 3: Cross multiply
    32,580.64x = 48,836.76 × 13,856.32
  4. Step 4: Simplify right side
    32,580.64x = 676,697,774.32
  5. Step 5: Solve for x
    x = 676,697,774.32/32,580.64
  6. Step 6: Final answer
    x = 20,769.93

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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.