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Finding the Fourth Proportional to 51,497.34, 77,239.53 and 16,434.06

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Solution

The fourth proportional to 51,497.34, 77,239.53 and 16,434.06 is: 24,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.34 : 77,239.53 = 16,434.06 : x
  2. Step 2: Convert to fraction form
    51,497.34/77,239.53 = 16,434.06/x
  3. Step 3: Cross multiply
    51,497.34x = 77,239.53 × 16,434.06
  4. Step 4: Simplify right side
    51,497.34x = 1,269,359,070.39
  5. Step 5: Solve for x
    x = 1,269,359,070.39/51,497.34
  6. Step 6: Final answer
    x = 24,649.02

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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.