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Finding the Fourth Proportional to 76,468.64, 114,573.52 and 46,824.60

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Solution

The fourth proportional to 76,468.64, 114,573.52 and 46,824.60 is: 70,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468.64 : 114,573.52 = 46,824.60 : x
  2. Step 2: Convert to fraction form
    76,468.64/114,573.52 = 46,824.60/x
  3. Step 3: Cross multiply
    76,468.64x = 114,573.52 × 46,824.60
  4. Step 4: Simplify right side
    76,468.64x = 5,364,859,244.59
  5. Step 5: Solve for x
    x = 5,364,859,244.59/76,468.64
  6. Step 6: Final answer
    x = 70,157.64

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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.