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Finding the Fourth Proportional to 55,806.56, 77,013 and 30,657.68

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Solution

The fourth proportional to 55,806.56, 77,013 and 30,657.68 is: 42,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.56 : 77,013 = 30,657.68 : x
  2. Step 2: Convert to fraction form
    55,806.56/77,013 = 30,657.68/x
  3. Step 3: Cross multiply
    55,806.56x = 77,013 × 30,657.68
  4. Step 4: Simplify right side
    55,806.56x = 2,361,039,909.84
  5. Step 5: Solve for x
    x = 2,361,039,909.84/55,806.56
  6. Step 6: Final answer
    x = 42,307.57

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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.