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Finding the Fourth Proportional to 46,870.68, 70,305.12 and 13,589.40

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Solution

The fourth proportional to 46,870.68, 70,305.12 and 13,589.40 is: 20,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,870.68 : 70,305.12 = 13,589.40 : x
  2. Step 2: Convert to fraction form
    46,870.68/70,305.12 = 13,589.40/x
  3. Step 3: Cross multiply
    46,870.68x = 70,305.12 × 13,589.40
  4. Step 4: Simplify right side
    46,870.68x = 955,404,397.73
  5. Step 5: Solve for x
    x = 955,404,397.73/46,870.68
  6. Step 6: Final answer
    x = 20,383.84

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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.