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Finding the Fourth Proportional to 35,102.40, 52,674.34 and 18,463.72

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Solution

The fourth proportional to 35,102.40, 52,674.34 and 18,463.72 is: 27,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.40 : 52,674.34 = 18,463.72 : x
  2. Step 2: Convert to fraction form
    35,102.40/52,674.34 = 18,463.72/x
  3. Step 3: Cross multiply
    35,102.40x = 52,674.34 × 18,463.72
  4. Step 4: Simplify right side
    35,102.40x = 972,564,264.94
  5. Step 5: Solve for x
    x = 972,564,264.94/35,102.40
  6. Step 6: Final answer
    x = 27,706.49

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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.