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Finding the Fourth Proportional to 30,959.29, 42,724.28 and 17,530.17

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Solution

The fourth proportional to 30,959.29, 42,724.28 and 17,530.17 is: 24,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.29 : 42,724.28 = 17,530.17 : x
  2. Step 2: Convert to fraction form
    30,959.29/42,724.28 = 17,530.17/x
  3. Step 3: Cross multiply
    30,959.29x = 42,724.28 × 17,530.17
  4. Step 4: Simplify right side
    30,959.29x = 748,963,590.26
  5. Step 5: Solve for x
    x = 748,963,590.26/30,959.29
  6. Step 6: Final answer
    x = 24,191.89

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1.5x scale

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.