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Finding the Fourth Proportional to 57,193.58, 78,927.70 and 31,700.50

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Solution

The fourth proportional to 57,193.58, 78,927.70 and 31,700.50 is: 43,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.58 : 78,927.70 = 31,700.50 : x
  2. Step 2: Convert to fraction form
    57,193.58/78,927.70 = 31,700.50/x
  3. Step 3: Cross multiply
    57,193.58x = 78,927.70 × 31,700.50
  4. Step 4: Simplify right side
    57,193.58x = 2,502,047,553.85
  5. Step 5: Solve for x
    x = 2,502,047,553.85/57,193.58
  6. Step 6: Final answer
    x = 43,747.00

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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.