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Finding the Fourth Proportional to 34,762.68, 52,147.68 and 11,390.94

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Solution

The fourth proportional to 34,762.68, 52,147.68 and 11,390.94 is: 17,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.68 : 52,147.68 = 11,390.94 : x
  2. Step 2: Convert to fraction form
    34,762.68/52,147.68 = 11,390.94/x
  3. Step 3: Cross multiply
    34,762.68x = 52,147.68 × 11,390.94
  4. Step 4: Simplify right side
    34,762.68x = 594,011,094.02
  5. Step 5: Solve for x
    x = 594,011,094.02/34,762.68
  6. Step 6: Final answer
    x = 17,087.61

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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.