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Finding the Fourth Proportional to 30,446.92, 42,014.04 and 17,526.64

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Solution

The fourth proportional to 30,446.92, 42,014.04 and 17,526.64 is: 24,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.92 : 42,014.04 = 17,526.64 : x
  2. Step 2: Convert to fraction form
    30,446.92/42,014.04 = 17,526.64/x
  3. Step 3: Cross multiply
    30,446.92x = 42,014.04 × 17,526.64
  4. Step 4: Simplify right side
    30,446.92x = 736,364,954.03
  5. Step 5: Solve for x
    x = 736,364,954.03/30,446.92
  6. Step 6: Final answer
    x = 24,185.20

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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.