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Finding the Fourth Proportional to 57,602.48, 86,415.78 and 24,322.64

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Solution

The fourth proportional to 57,602.48, 86,415.78 and 24,322.64 is: 36,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602.48 : 86,415.78 = 24,322.64 : x
  2. Step 2: Convert to fraction form
    57,602.48/86,415.78 = 24,322.64/x
  3. Step 3: Cross multiply
    57,602.48x = 86,415.78 × 24,322.64
  4. Step 4: Simplify right side
    57,602.48x = 2,101,859,907.26
  5. Step 5: Solve for x
    x = 2,101,859,907.26/57,602.48
  6. Step 6: Final answer
    x = 36,489.05

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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.