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Finding the Fourth Proportional to 42,614.70, 63,928.80 and 14,537.40

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Solution

The fourth proportional to 42,614.70, 63,928.80 and 14,537.40 is: 21,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614.70 : 63,928.80 = 14,537.40 : x
  2. Step 2: Convert to fraction form
    42,614.70/63,928.80 = 14,537.40/x
  3. Step 3: Cross multiply
    42,614.70x = 63,928.80 × 14,537.40
  4. Step 4: Simplify right side
    42,614.70x = 929,358,537.12
  5. Step 5: Solve for x
    x = 929,358,537.12/42,614.70
  6. Step 6: Final answer
    x = 21,808.40

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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.