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Finding the Fourth Proportional to 114,595.75, 171,962.75 and 48,931.75

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Solution

The fourth proportional to 114,595.75, 171,962.75 and 48,931.75 is: 73,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,595.75 : 171,962.75 = 48,931.75 : x
  2. Step 2: Convert to fraction form
    114,595.75/171,962.75 = 48,931.75/x
  3. Step 3: Cross multiply
    114,595.75x = 171,962.75 × 48,931.75
  4. Step 4: Simplify right side
    114,595.75x = 8,414,438,292.31
  5. Step 5: Solve for x
    x = 8,414,438,292.31/114,595.75
  6. Step 6: Final answer
    x = 73,427.14

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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.