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Finding the Fourth Proportional to 32,124.83, 44,331.58 and 17,783.84

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Solution

The fourth proportional to 32,124.83, 44,331.58 and 17,783.84 is: 24,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.83 : 44,331.58 = 17,783.84 : x
  2. Step 2: Convert to fraction form
    32,124.83/44,331.58 = 17,783.84/x
  3. Step 3: Cross multiply
    32,124.83x = 44,331.58 × 17,783.84
  4. Step 4: Simplify right side
    32,124.83x = 788,385,459.55
  5. Step 5: Solve for x
    x = 788,385,459.55/32,124.83
  6. Step 6: Final answer
    x = 24,541.31

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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.