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Finding the Fourth Proportional to 55,762.34, 76,952.31 and 31,890.02

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Solution

The fourth proportional to 55,762.34, 76,952.31 and 31,890.02 is: 44,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.34 : 76,952.31 = 31,890.02 : x
  2. Step 2: Convert to fraction form
    55,762.34/76,952.31 = 31,890.02/x
  3. Step 3: Cross multiply
    55,762.34x = 76,952.31 × 31,890.02
  4. Step 4: Simplify right side
    55,762.34x = 2,454,010,704.95
  5. Step 5: Solve for x
    x = 2,454,010,704.95/55,762.34
  6. Step 6: Final answer
    x = 44,008.39

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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.