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Finding the Fourth Proportional to 52,981.94, 73,119.57 and 29,113.40

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Solution

The fourth proportional to 52,981.94, 73,119.57 and 29,113.40 is: 40,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,981.94 : 73,119.57 = 29,113.40 : x
  2. Step 2: Convert to fraction form
    52,981.94/73,119.57 = 29,113.40/x
  3. Step 3: Cross multiply
    52,981.94x = 73,119.57 × 29,113.40
  4. Step 4: Simplify right side
    52,981.94x = 2,128,759,289.24
  5. Step 5: Solve for x
    x = 2,128,759,289.24/52,981.94
  6. Step 6: Final answer
    x = 40,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.