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Finding the Fourth Proportional to 42,071.98, 58,065.59 and 27,729.62

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Solution

The fourth proportional to 42,071.98, 58,065.59 and 27,729.62 is: 38,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071.98 : 58,065.59 = 27,729.62 : x
  2. Step 2: Convert to fraction form
    42,071.98/58,065.59 = 27,729.62/x
  3. Step 3: Cross multiply
    42,071.98x = 58,065.59 × 27,729.62
  4. Step 4: Simplify right side
    42,071.98x = 1,610,136,745.78
  5. Step 5: Solve for x
    x = 1,610,136,745.78/42,071.98
  6. Step 6: Final answer
    x = 38,271.00

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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.