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Finding the Fourth Proportional to 51,602, 77,403.96 and 14,666.96

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Solution

The fourth proportional to 51,602, 77,403.96 and 14,666.96 is: 22,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602 : 77,403.96 = 14,666.96 : x
  2. Step 2: Convert to fraction form
    51,602/77,403.96 = 14,666.96/x
  3. Step 3: Cross multiply
    51,602x = 77,403.96 × 14,666.96
  4. Step 4: Simplify right side
    51,602x = 1,135,280,785.16
  5. Step 5: Solve for x
    x = 1,135,280,785.16/51,602
  6. Step 6: Final answer
    x = 22,000.71

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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.