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Finding the Fourth Proportional to 27,292.42, 40,938.64 and 9,761.20

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Solution

The fourth proportional to 27,292.42, 40,938.64 and 9,761.20 is: 14,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292.42 : 40,938.64 = 9,761.20 : x
  2. Step 2: Convert to fraction form
    27,292.42/40,938.64 = 9,761.20/x
  3. Step 3: Cross multiply
    27,292.42x = 40,938.64 × 9,761.20
  4. Step 4: Simplify right side
    27,292.42x = 399,610,252.77
  5. Step 5: Solve for x
    x = 399,610,252.77/27,292.42
  6. Step 6: Final answer
    x = 14,641.80

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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.