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Finding the Fourth Proportional to 55,825.50, 77,040.54 and 30,675

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Solution

The fourth proportional to 55,825.50, 77,040.54 and 30,675 is: 42,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825.50 : 77,040.54 = 30,675 : x
  2. Step 2: Convert to fraction form
    55,825.50/77,040.54 = 30,675/x
  3. Step 3: Cross multiply
    55,825.50x = 77,040.54 × 30,675
  4. Step 4: Simplify right side
    55,825.50x = 2,363,218,564.50
  5. Step 5: Solve for x
    x = 2,363,218,564.50/55,825.50
  6. Step 6: Final answer
    x = 42,332.24

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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.