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Finding the Fourth Proportional to 52,507.94, 78,745.73 and 15,057.95

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Solution

The fourth proportional to 52,507.94, 78,745.73 and 15,057.95 is: 22,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.94 : 78,745.73 = 15,057.95 : x
  2. Step 2: Convert to fraction form
    52,507.94/78,745.73 = 15,057.95/x
  3. Step 3: Cross multiply
    52,507.94x = 78,745.73 × 15,057.95
  4. Step 4: Simplify right side
    52,507.94x = 1,185,748,796.04
  5. Step 5: Solve for x
    x = 1,185,748,796.04/52,507.94
  6. Step 6: Final answer
    x = 22,582.28

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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.