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Finding the Fourth Proportional to 32,458, 48,652.08 and 13,733.68

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Solution

The fourth proportional to 32,458, 48,652.08 and 13,733.68 is: 20,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458 : 48,652.08 = 13,733.68 : x
  2. Step 2: Convert to fraction form
    32,458/48,652.08 = 13,733.68/x
  3. Step 3: Cross multiply
    32,458x = 48,652.08 × 13,733.68
  4. Step 4: Simplify right side
    32,458x = 668,172,098.05
  5. Step 5: Solve for x
    x = 668,172,098.05/32,458
  6. Step 6: Final answer
    x = 20,585.74

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Why These Related Problems?

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