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Finding the Fourth Proportional to 30,574.84, 42,193.74 and 17,827.68

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Solution

The fourth proportional to 30,574.84, 42,193.74 and 17,827.68 is: 24,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.84 : 42,193.74 = 17,827.68 : x
  2. Step 2: Convert to fraction form
    30,574.84/42,193.74 = 17,827.68/x
  3. Step 3: Cross multiply
    30,574.84x = 42,193.74 × 17,827.68
  4. Step 4: Simplify right side
    30,574.84x = 752,216,494.72
  5. Step 5: Solve for x
    x = 752,216,494.72/30,574.84
  6. Step 6: Final answer
    x = 24,602.47

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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.