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Finding the Fourth Proportional to 55,813.50, 77,023.17 and 30,663.54

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Solution

The fourth proportional to 55,813.50, 77,023.17 and 30,663.54 is: 42,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,813.50 : 77,023.17 = 30,663.54 : x
  2. Step 2: Convert to fraction form
    55,813.50/77,023.17 = 30,663.54/x
  3. Step 3: Cross multiply
    55,813.50x = 77,023.17 × 30,663.54
  4. Step 4: Simplify right side
    55,813.50x = 2,361,803,054.22
  5. Step 5: Solve for x
    x = 2,361,803,054.22/55,813.50
  6. Step 6: Final answer
    x = 42,315.98

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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.