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Finding the Fourth Proportional to 70,509.60, 105,764.40 and 53,920.80

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Solution

The fourth proportional to 70,509.60, 105,764.40 and 53,920.80 is: 80,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.60 : 105,764.40 = 53,920.80 : x
  2. Step 2: Convert to fraction form
    70,509.60/105,764.40 = 53,920.80/x
  3. Step 3: Cross multiply
    70,509.60x = 105,764.40 × 53,920.80
  4. Step 4: Simplify right side
    70,509.60x = 5,702,901,059.52
  5. Step 5: Solve for x
    x = 5,702,901,059.52/70,509.60
  6. Step 6: Final answer
    x = 80,881.20

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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.