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Finding the Fourth Proportional to 30,848, 42,570.24 and 17,600

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Solution

The fourth proportional to 30,848, 42,570.24 and 17,600 is: 24,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848 : 42,570.24 = 17,600 : x
  2. Step 2: Convert to fraction form
    30,848/42,570.24 = 17,600/x
  3. Step 3: Cross multiply
    30,848x = 42,570.24 × 17,600
  4. Step 4: Simplify right side
    30,848x = 749,236,224
  5. Step 5: Solve for x
    x = 749,236,224/30,848
  6. Step 6: Final answer
    x = 24,288

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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.