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Finding the Fourth Proportional to 30,784.34, 46,158.08 and 14,958.23

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Solution

The fourth proportional to 30,784.34, 46,158.08 and 14,958.23 is: 22,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.34 : 46,158.08 = 14,958.23 : x
  2. Step 2: Convert to fraction form
    30,784.34/46,158.08 = 14,958.23/x
  3. Step 3: Cross multiply
    30,784.34x = 46,158.08 × 14,958.23
  4. Step 4: Simplify right side
    30,784.34x = 690,442,871.42
  5. Step 5: Solve for x
    x = 690,442,871.42/30,784.34
  6. Step 6: Final answer
    x = 22,428.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.