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Finding the Fourth Proportional to 35,132.84, 48,477.38 and 21,706.28

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Solution

The fourth proportional to 35,132.84, 48,477.38 and 21,706.28 is: 29,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,132.84 : 48,477.38 = 21,706.28 : x
  2. Step 2: Convert to fraction form
    35,132.84/48,477.38 = 21,706.28/x
  3. Step 3: Cross multiply
    35,132.84x = 48,477.38 × 21,706.28
  4. Step 4: Simplify right side
    35,132.84x = 1,052,263,583.95
  5. Step 5: Solve for x
    x = 1,052,263,583.95/35,132.84
  6. Step 6: Final answer
    x = 29,951.00

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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.