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Finding the Fourth Proportional to 64,827.29, 97,084.18 and 53,651.71

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Solution

The fourth proportional to 64,827.29, 97,084.18 and 53,651.71 is: 80,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827.29 : 97,084.18 = 53,651.71 : x
  2. Step 2: Convert to fraction form
    64,827.29/97,084.18 = 53,651.71/x
  3. Step 3: Cross multiply
    64,827.29x = 97,084.18 × 53,651.71
  4. Step 4: Simplify right side
    64,827.29x = 5,208,732,002.69
  5. Step 5: Solve for x
    x = 5,208,732,002.69/64,827.29
  6. Step 6: Final answer
    x = 80,347.83

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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.