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Finding the Fourth Proportional to 52,074, 78,098.78 and 14,637.64

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Solution

The fourth proportional to 52,074, 78,098.78 and 14,637.64 is: 21,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074 : 78,098.78 = 14,637.64 : x
  2. Step 2: Convert to fraction form
    52,074/78,098.78 = 14,637.64/x
  3. Step 3: Cross multiply
    52,074x = 78,098.78 × 14,637.64
  4. Step 4: Simplify right side
    52,074x = 1,143,181,826.08
  5. Step 5: Solve for x
    x = 1,143,181,826.08/52,074
  6. Step 6: Final answer
    x = 21,953.03

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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.