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Finding the Fourth Proportional to 52,296.40, 78,509.60 and 52,056.64

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Solution

The fourth proportional to 52,296.40, 78,509.60 and 52,056.64 is: 78,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,296.40 : 78,509.60 = 52,056.64 : x
  2. Step 2: Convert to fraction form
    52,296.40/78,509.60 = 52,056.64/x
  3. Step 3: Cross multiply
    52,296.40x = 78,509.60 × 52,056.64
  4. Step 4: Simplify right side
    52,296.40x = 4,086,945,330.91
  5. Step 5: Solve for x
    x = 4,086,945,330.91/52,296.40
  6. Step 6: Final answer
    x = 78,149.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.