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Finding the Fourth Proportional to 114,421.84, 171,513.60 and 38,464

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Solution

The fourth proportional to 114,421.84, 171,513.60 and 38,464 is: 57,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,421.84 : 171,513.60 = 38,464 : x
  2. Step 2: Convert to fraction form
    114,421.84/171,513.60 = 38,464/x
  3. Step 3: Cross multiply
    114,421.84x = 171,513.60 × 38,464
  4. Step 4: Simplify right side
    114,421.84x = 6,597,099,110.40
  5. Step 5: Solve for x
    x = 6,597,099,110.40/114,421.84
  6. Step 6: Final answer
    x = 57,655.94

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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.