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Finding the Fourth Proportional to 35,069.84, 52,591.80 and 14,282

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Solution

The fourth proportional to 35,069.84, 52,591.80 and 14,282 is: 21,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,069.84 : 52,591.80 = 14,282 : x
  2. Step 2: Convert to fraction form
    35,069.84/52,591.80 = 14,282/x
  3. Step 3: Cross multiply
    35,069.84x = 52,591.80 × 14,282
  4. Step 4: Simplify right side
    35,069.84x = 751,116,087.60
  5. Step 5: Solve for x
    x = 751,116,087.60/35,069.84
  6. Step 6: Final answer
    x = 21,417.72

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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.