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Finding the Fourth Proportional to 51,402, 77,104.35 and 16,341.66

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Solution

The fourth proportional to 51,402, 77,104.35 and 16,341.66 is: 24,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402 : 77,104.35 = 16,341.66 : x
  2. Step 2: Convert to fraction form
    51,402/77,104.35 = 16,341.66/x
  3. Step 3: Cross multiply
    51,402x = 77,104.35 × 16,341.66
  4. Step 4: Simplify right side
    51,402x = 1,260,013,072.22
  5. Step 5: Solve for x
    x = 1,260,013,072.22/51,402
  6. Step 6: Final answer
    x = 24,512.92

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Why These Related Problems?

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