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Finding the Fourth Proportional to 30,509.60, 45,764.40 and 25,498.40

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Solution

The fourth proportional to 30,509.60, 45,764.40 and 25,498.40 is: 38,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.60 : 45,764.40 = 25,498.40 : x
  2. Step 2: Convert to fraction form
    30,509.60/45,764.40 = 25,498.40/x
  3. Step 3: Cross multiply
    30,509.60x = 45,764.40 × 25,498.40
  4. Step 4: Simplify right side
    30,509.60x = 1,166,918,976.96
  5. Step 5: Solve for x
    x = 1,166,918,976.96/30,509.60
  6. Step 6: Final answer
    x = 38,247.60

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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.