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Finding the Fourth Proportional to 62,132, 85,748.64 and 35,281.76

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Solution

The fourth proportional to 62,132, 85,748.64 and 35,281.76 is: 48,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,132 : 85,748.64 = 35,281.76 : x
  2. Step 2: Convert to fraction form
    62,132/85,748.64 = 35,281.76/x
  3. Step 3: Cross multiply
    62,132x = 85,748.64 × 35,281.76
  4. Step 4: Simplify right side
    62,132x = 3,025,362,936.81
  5. Step 5: Solve for x
    x = 3,025,362,936.81/62,132
  6. Step 6: Final answer
    x = 48,692.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.