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Finding the Fourth Proportional to 32,125.41, 44,329.15 and 17,784.16

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Solution

The fourth proportional to 32,125.41, 44,329.15 and 17,784.16 is: 24,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.41 : 44,329.15 = 17,784.16 : x
  2. Step 2: Convert to fraction form
    32,125.41/44,329.15 = 17,784.16/x
  3. Step 3: Cross multiply
    32,125.41x = 44,329.15 × 17,784.16
  4. Step 4: Simplify right side
    32,125.41x = 788,356,607.67
  5. Step 5: Solve for x
    x = 788,356,607.67/32,125.41
  6. Step 6: Final answer
    x = 24,539.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.