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Finding the Fourth Proportional to 46,892.20, 70,490.70 and 37,633.66

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Solution

The fourth proportional to 46,892.20, 70,490.70 and 37,633.66 is: 56,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,892.20 : 70,490.70 = 37,633.66 : x
  2. Step 2: Convert to fraction form
    46,892.20/70,490.70 = 37,633.66/x
  3. Step 3: Cross multiply
    46,892.20x = 70,490.70 × 37,633.66
  4. Step 4: Simplify right side
    46,892.20x = 2,652,823,036.96
  5. Step 5: Solve for x
    x = 2,652,823,036.96/46,892.20
  6. Step 6: Final answer
    x = 56,572.80

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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.