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Finding the Fourth Proportional to 30,700.10, 42,365.75 and 17,271.45

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Solution

The fourth proportional to 30,700.10, 42,365.75 and 17,271.45 is: 23,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.10 : 42,365.75 = 17,271.45 : x
  2. Step 2: Convert to fraction form
    30,700.10/42,365.75 = 17,271.45/x
  3. Step 3: Cross multiply
    30,700.10x = 42,365.75 × 17,271.45
  4. Step 4: Simplify right side
    30,700.10x = 731,717,846.48
  5. Step 5: Solve for x
    x = 731,717,846.48/30,700.10
  6. Step 6: Final answer
    x = 23,834.38

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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.