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Finding the Fourth Proportional to 62,032, 85,567.68 and 36,880

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Solution

The fourth proportional to 62,032, 85,567.68 and 36,880 is: 50,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,032 : 85,567.68 = 36,880 : x
  2. Step 2: Convert to fraction form
    62,032/85,567.68 = 36,880/x
  3. Step 3: Cross multiply
    62,032x = 85,567.68 × 36,880
  4. Step 4: Simplify right side
    62,032x = 3,155,736,038.40
  5. Step 5: Solve for x
    x = 3,155,736,038.40/62,032
  6. Step 6: Final answer
    x = 50,872.71

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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.