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Finding the Fourth Proportional to 30,971.49, 42,721.38 and 25,784.13

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Solution

The fourth proportional to 30,971.49, 42,721.38 and 25,784.13 is: 35,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.49 : 42,721.38 = 25,784.13 : x
  2. Step 2: Convert to fraction form
    30,971.49/42,721.38 = 25,784.13/x
  3. Step 3: Cross multiply
    30,971.49x = 42,721.38 × 25,784.13
  4. Step 4: Simplify right side
    30,971.49x = 1,101,533,615.70
  5. Step 5: Solve for x
    x = 1,101,533,615.70/30,971.49
  6. Step 6: Final answer
    x = 35,566.05

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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.