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Finding the Fourth Proportional to 57,476.50, 86,214.76 and 15,923.50

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Solution

The fourth proportional to 57,476.50, 86,214.76 and 15,923.50 is: 23,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,476.50 : 86,214.76 = 15,923.50 : x
  2. Step 2: Convert to fraction form
    57,476.50/86,214.76 = 15,923.50/x
  3. Step 3: Cross multiply
    57,476.50x = 86,214.76 × 15,923.50
  4. Step 4: Simplify right side
    57,476.50x = 1,372,840,730.86
  5. Step 5: Solve for x
    x = 1,372,840,730.86/57,476.50
  6. Step 6: Final answer
    x = 23,885.25

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1.5x scale

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.