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Finding the Fourth Proportional to 45,114.32, 67,677.96 and 13,952

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Solution

The fourth proportional to 45,114.32, 67,677.96 and 13,952 is: 20,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,114.32 : 67,677.96 = 13,952 : x
  2. Step 2: Convert to fraction form
    45,114.32/67,677.96 = 13,952/x
  3. Step 3: Cross multiply
    45,114.32x = 67,677.96 × 13,952
  4. Step 4: Simplify right side
    45,114.32x = 944,242,897.92
  5. Step 5: Solve for x
    x = 944,242,897.92/45,114.32
  6. Step 6: Final answer
    x = 20,930.00

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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.