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Finding the Fourth Proportional to 30,962.98, 42,727.58 and 17,534.98

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Solution

The fourth proportional to 30,962.98, 42,727.58 and 17,534.98 is: 24,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.98 : 42,727.58 = 17,534.98 : x
  2. Step 2: Convert to fraction form
    30,962.98/42,727.58 = 17,534.98/x
  3. Step 3: Cross multiply
    30,962.98x = 42,727.58 × 17,534.98
  4. Step 4: Simplify right side
    30,962.98x = 749,227,260.75
  5. Step 5: Solve for x
    x = 749,227,260.75/30,962.98
  6. Step 6: Final answer
    x = 24,197.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.