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Finding the Fourth Proportional to 53,886.40, 80,829.60 and 30,558.40

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Solution

The fourth proportional to 53,886.40, 80,829.60 and 30,558.40 is: 45,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.40 : 80,829.60 = 30,558.40 : x
  2. Step 2: Convert to fraction form
    53,886.40/80,829.60 = 30,558.40/x
  3. Step 3: Cross multiply
    53,886.40x = 80,829.60 × 30,558.40
  4. Step 4: Simplify right side
    53,886.40x = 2,470,023,248.64
  5. Step 5: Solve for x
    x = 2,470,023,248.64/53,886.40
  6. Step 6: Final answer
    x = 45,837.60

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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.