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Finding the Fourth Proportional to 30,178.81, 41,646.35 and 16,750.02

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Solution

The fourth proportional to 30,178.81, 41,646.35 and 16,750.02 is: 23,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.81 : 41,646.35 = 16,750.02 : x
  2. Step 2: Convert to fraction form
    30,178.81/41,646.35 = 16,750.02/x
  3. Step 3: Cross multiply
    30,178.81x = 41,646.35 × 16,750.02
  4. Step 4: Simplify right side
    30,178.81x = 697,577,393.48
  5. Step 5: Solve for x
    x = 697,577,393.48/30,178.81
  6. Step 6: Final answer
    x = 23,114.81

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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.