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Finding the Fourth Proportional to 46,202.78, 69,312.72 and 14,620.78

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Solution

The fourth proportional to 46,202.78, 69,312.72 and 14,620.78 is: 21,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202.78 : 69,312.72 = 14,620.78 : x
  2. Step 2: Convert to fraction form
    46,202.78/69,312.72 = 14,620.78/x
  3. Step 3: Cross multiply
    46,202.78x = 69,312.72 × 14,620.78
  4. Step 4: Simplify right side
    46,202.78x = 1,013,406,030.32
  5. Step 5: Solve for x
    x = 1,013,406,030.32/46,202.78
  6. Step 6: Final answer
    x = 21,933.88

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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.