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Finding the Fourth Proportional to 30,712.68, 42,386.04 and 17,284.50

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Solution

The fourth proportional to 30,712.68, 42,386.04 and 17,284.50 is: 23,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.68 : 42,386.04 = 17,284.50 : x
  2. Step 2: Convert to fraction form
    30,712.68/42,386.04 = 17,284.50/x
  3. Step 3: Cross multiply
    30,712.68x = 42,386.04 × 17,284.50
  4. Step 4: Simplify right side
    30,712.68x = 732,621,508.38
  5. Step 5: Solve for x
    x = 732,621,508.38/30,712.68
  6. Step 6: Final answer
    x = 23,854.04

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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.