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Finding the Fourth Proportional to 51,752.34, 77,609.43 and 18,463.50

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Solution

The fourth proportional to 51,752.34, 77,609.43 and 18,463.50 is: 27,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.34 : 77,609.43 = 18,463.50 : x
  2. Step 2: Convert to fraction form
    51,752.34/77,609.43 = 18,463.50/x
  3. Step 3: Cross multiply
    51,752.34x = 77,609.43 × 18,463.50
  4. Step 4: Simplify right side
    51,752.34x = 1,432,941,710.81
  5. Step 5: Solve for x
    x = 1,432,941,710.81/51,752.34
  6. Step 6: Final answer
    x = 27,688.44

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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.