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Finding the Fourth Proportional to 52,426.64, 72,451.50 and 46,594.64

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Solution

The fourth proportional to 52,426.64, 72,451.50 and 46,594.64 is: 64,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426.64 : 72,451.50 = 46,594.64 : x
  2. Step 2: Convert to fraction form
    52,426.64/72,451.50 = 46,594.64/x
  3. Step 3: Cross multiply
    52,426.64x = 72,451.50 × 46,594.64
  4. Step 4: Simplify right side
    52,426.64x = 3,375,851,559.96
  5. Step 5: Solve for x
    x = 3,375,851,559.96/52,426.64
  6. Step 6: Final answer
    x = 64,391.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.