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Finding the Fourth Proportional to 32,429.37, 48,645.38 and 14,656.62

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Solution

The fourth proportional to 32,429.37, 48,645.38 and 14,656.62 is: 21,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.37 : 48,645.38 = 14,656.62 : x
  2. Step 2: Convert to fraction form
    32,429.37/48,645.38 = 14,656.62/x
  3. Step 3: Cross multiply
    32,429.37x = 48,645.38 × 14,656.62
  4. Step 4: Simplify right side
    32,429.37x = 712,976,776.13
  5. Step 5: Solve for x
    x = 712,976,776.13/32,429.37
  6. Step 6: Final answer
    x = 21,985.53

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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.