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Finding the Fourth Proportional to 114,526.54, 171,856.80 and 47,961.08

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Solution

The fourth proportional to 114,526.54, 171,856.80 and 47,961.08 is: 71,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,526.54 : 171,856.80 = 47,961.08 : x
  2. Step 2: Convert to fraction form
    114,526.54/171,856.80 = 47,961.08/x
  3. Step 3: Cross multiply
    114,526.54x = 171,856.80 × 47,961.08
  4. Step 4: Simplify right side
    114,526.54x = 8,242,437,733.34
  5. Step 5: Solve for x
    x = 8,242,437,733.34/114,526.54
  6. Step 6: Final answer
    x = 71,969.67

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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.