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Finding the Fourth Proportional to 30,956.88, 42,726.72 and 17,528.16

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Solution

The fourth proportional to 30,956.88, 42,726.72 and 17,528.16 is: 24,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.88 : 42,726.72 = 17,528.16 : x
  2. Step 2: Convert to fraction form
    30,956.88/42,726.72 = 17,528.16/x
  3. Step 3: Cross multiply
    30,956.88x = 42,726.72 × 17,528.16
  4. Step 4: Simplify right side
    30,956.88x = 748,920,784.44
  5. Step 5: Solve for x
    x = 748,920,784.44/30,956.88
  6. Step 6: Final answer
    x = 24,192.39

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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.