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Finding the Fourth Proportional to 30,530.74, 42,133.35 and 17,101.98

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Solution

The fourth proportional to 30,530.74, 42,133.35 and 17,101.98 is: 23,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.74 : 42,133.35 = 17,101.98 : x
  2. Step 2: Convert to fraction form
    30,530.74/42,133.35 = 17,101.98/x
  3. Step 3: Cross multiply
    30,530.74x = 42,133.35 × 17,101.98
  4. Step 4: Simplify right side
    30,530.74x = 720,563,709.03
  5. Step 5: Solve for x
    x = 720,563,709.03/30,530.74
  6. Step 6: Final answer
    x = 23,601.25

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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.