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Finding the Fourth Proportional to 34,476.98, 47,618.28 and 27,602.10

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Solution

The fourth proportional to 34,476.98, 47,618.28 and 27,602.10 is: 38,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476.98 : 47,618.28 = 27,602.10 : x
  2. Step 2: Convert to fraction form
    34,476.98/47,618.28 = 27,602.10/x
  3. Step 3: Cross multiply
    34,476.98x = 47,618.28 × 27,602.10
  4. Step 4: Simplify right side
    34,476.98x = 1,314,364,526.39
  5. Step 5: Solve for x
    x = 1,314,364,526.39/34,476.98
  6. Step 6: Final answer
    x = 38,122.97

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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.