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Finding the Fourth Proportional to 53,758.37, 80,652.14 and 16,319.66

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Solution

The fourth proportional to 53,758.37, 80,652.14 and 16,319.66 is: 24,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758.37 : 80,652.14 = 16,319.66 : x
  2. Step 2: Convert to fraction form
    53,758.37/80,652.14 = 16,319.66/x
  3. Step 3: Cross multiply
    53,758.37x = 80,652.14 × 16,319.66
  4. Step 4: Simplify right side
    53,758.37x = 1,316,215,018.21
  5. Step 5: Solve for x
    x = 1,316,215,018.21/53,758.37
  6. Step 6: Final answer
    x = 24,483.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.