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Finding the Fourth Proportional to 55,580.68, 76,701.18 and 30,430

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Solution

The fourth proportional to 55,580.68, 76,701.18 and 30,430 is: 41,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,580.68 : 76,701.18 = 30,430 : x
  2. Step 2: Convert to fraction form
    55,580.68/76,701.18 = 30,430/x
  3. Step 3: Cross multiply
    55,580.68x = 76,701.18 × 30,430
  4. Step 4: Simplify right side
    55,580.68x = 2,334,016,907.40
  5. Step 5: Solve for x
    x = 2,334,016,907.40/55,580.68
  6. Step 6: Final answer
    x = 41,993.31

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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.