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Finding the Fourth Proportional to 55,509.60, 83,190.48 and 20,416.80

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Solution

The fourth proportional to 55,509.60, 83,190.48 and 20,416.80 is: 30,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.60 : 83,190.48 = 20,416.80 : x
  2. Step 2: Convert to fraction form
    55,509.60/83,190.48 = 20,416.80/x
  3. Step 3: Cross multiply
    55,509.60x = 83,190.48 × 20,416.80
  4. Step 4: Simplify right side
    55,509.60x = 1,698,483,392.06
  5. Step 5: Solve for x
    x = 1,698,483,392.06/55,509.60
  6. Step 6: Final answer
    x = 30,598.01

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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.