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Finding the Fourth Proportional to 46,776.40, 70,201.92 and 24,602.80

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Solution

The fourth proportional to 46,776.40, 70,201.92 and 24,602.80 is: 36,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776.40 : 70,201.92 = 24,602.80 : x
  2. Step 2: Convert to fraction form
    46,776.40/70,201.92 = 24,602.80/x
  3. Step 3: Cross multiply
    46,776.40x = 70,201.92 × 24,602.80
  4. Step 4: Simplify right side
    46,776.40x = 1,727,163,797.38
  5. Step 5: Solve for x
    x = 1,727,163,797.38/46,776.40
  6. Step 6: Final answer
    x = 36,923.83

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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.