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Finding the Fourth Proportional to 46,572.76, 69,881.82 and 23,202.64

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Solution

The fourth proportional to 46,572.76, 69,881.82 and 23,202.64 is: 34,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,572.76 : 69,881.82 = 23,202.64 : x
  2. Step 2: Convert to fraction form
    46,572.76/69,881.82 = 23,202.64/x
  3. Step 3: Cross multiply
    46,572.76x = 69,881.82 × 23,202.64
  4. Step 4: Simplify right side
    46,572.76x = 1,621,442,712.00
  5. Step 5: Solve for x
    x = 1,621,442,712.00/46,572.76
  6. Step 6: Final answer
    x = 34,815.26

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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.