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Finding the Fourth Proportional to 82,587.30, 114,017.76 and 54,375

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Solution

The fourth proportional to 82,587.30, 114,017.76 and 54,375 is: 75,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587.30 : 114,017.76 = 54,375 : x
  2. Step 2: Convert to fraction form
    82,587.30/114,017.76 = 54,375/x
  3. Step 3: Cross multiply
    82,587.30x = 114,017.76 × 54,375
  4. Step 4: Simplify right side
    82,587.30x = 6,199,715,700
  5. Step 5: Solve for x
    x = 6,199,715,700/82,587.30
  6. Step 6: Final answer
    x = 75,068.63

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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.