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Finding the Fourth Proportional to 55,774.34, 76,968.87 and 31,902.02

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Solution

The fourth proportional to 55,774.34, 76,968.87 and 31,902.02 is: 44,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774.34 : 76,968.87 = 31,902.02 : x
  2. Step 2: Convert to fraction form
    55,774.34/76,968.87 = 31,902.02/x
  3. Step 3: Cross multiply
    55,774.34x = 76,968.87 × 31,902.02
  4. Step 4: Simplify right side
    55,774.34x = 2,455,462,430.12
  5. Step 5: Solve for x
    x = 2,455,462,430.12/55,774.34
  6. Step 6: Final answer
    x = 44,024.95

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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.