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Finding the Fourth Proportional to 32,417.71, 48,648.44 and 12,693.80

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Solution

The fourth proportional to 32,417.71, 48,648.44 and 12,693.80 is: 19,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.71 : 48,648.44 = 12,693.80 : x
  2. Step 2: Convert to fraction form
    32,417.71/48,648.44 = 12,693.80/x
  3. Step 3: Cross multiply
    32,417.71x = 48,648.44 × 12,693.80
  4. Step 4: Simplify right side
    32,417.71x = 617,533,625.82
  5. Step 5: Solve for x
    x = 617,533,625.82/32,417.71
  6. Step 6: Final answer
    x = 19,049.27

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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.