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Finding the Fourth Proportional to 56,013.96, 77,298.33 and 30,520.63

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Solution

The fourth proportional to 56,013.96, 77,298.33 and 30,520.63 is: 42,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013.96 : 77,298.33 = 30,520.63 : x
  2. Step 2: Convert to fraction form
    56,013.96/77,298.33 = 30,520.63/x
  3. Step 3: Cross multiply
    56,013.96x = 77,298.33 × 30,520.63
  4. Step 4: Simplify right side
    56,013.96x = 2,359,193,729.55
  5. Step 5: Solve for x
    x = 2,359,193,729.55/56,013.96
  6. Step 6: Final answer
    x = 42,117.96

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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.