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Finding the Fourth Proportional to 51,590.73, 71,210.42 and 33,688.53

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Solution

The fourth proportional to 51,590.73, 71,210.42 and 33,688.53 is: 46,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,590.73 : 71,210.42 = 33,688.53 : x
  2. Step 2: Convert to fraction form
    51,590.73/71,210.42 = 33,688.53/x
  3. Step 3: Cross multiply
    51,590.73x = 71,210.42 × 33,688.53
  4. Step 4: Simplify right side
    51,590.73x = 2,398,974,202.04
  5. Step 5: Solve for x
    x = 2,398,974,202.04/51,590.73
  6. Step 6: Final answer
    x = 46,500.10

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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.