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Finding the Fourth Proportional to 40,368.16, 60,464.72 and 19,548

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Solution

The fourth proportional to 40,368.16, 60,464.72 and 19,548 is: 29,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,368.16 : 60,464.72 = 19,548 : x
  2. Step 2: Convert to fraction form
    40,368.16/60,464.72 = 19,548/x
  3. Step 3: Cross multiply
    40,368.16x = 60,464.72 × 19,548
  4. Step 4: Simplify right side
    40,368.16x = 1,181,964,346.56
  5. Step 5: Solve for x
    x = 1,181,964,346.56/40,368.16
  6. Step 6: Final answer
    x = 29,279.62

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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.