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Finding the Fourth Proportional to 56,727.76, 85,085.19 and 15,178

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Solution

The fourth proportional to 56,727.76, 85,085.19 and 15,178 is: 22,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,727.76 : 85,085.19 = 15,178 : x
  2. Step 2: Convert to fraction form
    56,727.76/85,085.19 = 15,178/x
  3. Step 3: Cross multiply
    56,727.76x = 85,085.19 × 15,178
  4. Step 4: Simplify right side
    56,727.76x = 1,291,423,013.82
  5. Step 5: Solve for x
    x = 1,291,423,013.82/56,727.76
  6. Step 6: Final answer
    x = 22,765.27

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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.