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Finding the Fourth Proportional to 52,414.94, 72,406.14 and 46,747.88

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Solution

The fourth proportional to 52,414.94, 72,406.14 and 46,747.88 is: 64,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414.94 : 72,406.14 = 46,747.88 : x
  2. Step 2: Convert to fraction form
    52,414.94/72,406.14 = 46,747.88/x
  3. Step 3: Cross multiply
    52,414.94x = 72,406.14 × 46,747.88
  4. Step 4: Simplify right side
    52,414.94x = 3,384,833,543.98
  5. Step 5: Solve for x
    x = 3,384,833,543.98/52,414.94
  6. Step 6: Final answer
    x = 64,577.65

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1.5x scale

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.