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Finding the Fourth Proportional to 56,633.69, 78,156.50 and 31,142.00

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Solution

The fourth proportional to 56,633.69, 78,156.50 and 31,142.00 is: 42,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,633.69 : 78,156.50 = 31,142.00 : x
  2. Step 2: Convert to fraction form
    56,633.69/78,156.50 = 31,142.00/x
  3. Step 3: Cross multiply
    56,633.69x = 78,156.50 × 31,142.00
  4. Step 4: Simplify right side
    56,633.69x = 2,433,949,762.68
  5. Step 5: Solve for x
    x = 2,433,949,762.68/56,633.69
  6. Step 6: Final answer
    x = 42,977.06

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