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Finding the Fourth Proportional to 55,925.40, 77,177 and 30,774.90

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Solution

The fourth proportional to 55,925.40, 77,177 and 30,774.90 is: 42,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,925.40 : 77,177 = 30,774.90 : x
  2. Step 2: Convert to fraction form
    55,925.40/77,177 = 30,774.90/x
  3. Step 3: Cross multiply
    55,925.40x = 77,177 × 30,774.90
  4. Step 4: Simplify right side
    55,925.40x = 2,375,114,457.30
  5. Step 5: Solve for x
    x = 2,375,114,457.30/55,925.40
  6. Step 6: Final answer
    x = 42,469.33

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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.