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Finding the Fourth Proportional to 34,803, 52,206.42 and 10,180.92

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Solution

The fourth proportional to 34,803, 52,206.42 and 10,180.92 is: 15,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,803 : 52,206.42 = 10,180.92 : x
  2. Step 2: Convert to fraction form
    34,803/52,206.42 = 10,180.92/x
  3. Step 3: Cross multiply
    34,803x = 52,206.42 × 10,180.92
  4. Step 4: Simplify right side
    34,803x = 531,509,385.51
  5. Step 5: Solve for x
    x = 531,509,385.51/34,803
  6. Step 6: Final answer
    x = 15,271.94

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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.