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Finding the Fourth Proportional to 57,756.40, 86,643.28 and 24,476.64

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Solution

The fourth proportional to 57,756.40, 86,643.28 and 24,476.64 is: 36,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,756.40 : 86,643.28 = 24,476.64 : x
  2. Step 2: Convert to fraction form
    57,756.40/86,643.28 = 24,476.64/x
  3. Step 3: Cross multiply
    57,756.40x = 86,643.28 × 24,476.64
  4. Step 4: Simplify right side
    57,756.40x = 2,120,736,372.98
  5. Step 5: Solve for x
    x = 2,120,736,372.98/57,756.40
  6. Step 6: Final answer
    x = 36,718.64

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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.