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Finding the Fourth Proportional to 32,159.40, 48,246.75 and 13,429.05

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Solution

The fourth proportional to 32,159.40, 48,246.75 and 13,429.05 is: 20,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.40 : 48,246.75 = 13,429.05 : x
  2. Step 2: Convert to fraction form
    32,159.40/48,246.75 = 13,429.05/x
  3. Step 3: Cross multiply
    32,159.40x = 48,246.75 × 13,429.05
  4. Step 4: Simplify right side
    32,159.40x = 647,908,018.09
  5. Step 5: Solve for x
    x = 647,908,018.09/32,159.40
  6. Step 6: Final answer
    x = 20,146.77

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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.