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Finding the Fourth Proportional to 114,047.46, 171,060.25 and 35,140.50

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Solution

The fourth proportional to 114,047.46, 171,060.25 and 35,140.50 is: 52,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,047.46 : 171,060.25 = 35,140.50 : x
  2. Step 2: Convert to fraction form
    114,047.46/171,060.25 = 35,140.50/x
  3. Step 3: Cross multiply
    114,047.46x = 171,060.25 × 35,140.50
  4. Step 4: Simplify right side
    114,047.46x = 6,011,142,715.13
  5. Step 5: Solve for x
    x = 6,011,142,715.13/114,047.46
  6. Step 6: Final answer
    x = 52,707.38

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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.