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Finding the Fourth Proportional to 30,953.84, 42,718.94 and 17,527.46

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Solution

The fourth proportional to 30,953.84, 42,718.94 and 17,527.46 is: 24,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.84 : 42,718.94 = 17,527.46 : x
  2. Step 2: Convert to fraction form
    30,953.84/42,718.94 = 17,527.46/x
  3. Step 3: Cross multiply
    30,953.84x = 42,718.94 × 17,527.46
  4. Step 4: Simplify right side
    30,953.84x = 748,754,555.91
  5. Step 5: Solve for x
    x = 748,754,555.91/30,953.84
  6. Step 6: Final answer
    x = 24,189.39

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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.