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Finding the Fourth Proportional to 174,402, 261,605.52 and 49,743

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Solution

The fourth proportional to 174,402, 261,605.52 and 49,743 is: 74,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,402 : 261,605.52 = 49,743 : x
  2. Step 2: Convert to fraction form
    174,402/261,605.52 = 49,743/x
  3. Step 3: Cross multiply
    174,402x = 261,605.52 × 49,743
  4. Step 4: Simplify right side
    174,402x = 13,013,043,381.36
  5. Step 5: Solve for x
    x = 13,013,043,381.36/174,402
  6. Step 6: Final answer
    x = 74,615.22

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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.