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Finding the Fourth Proportional to 32,201.64, 48,331.93 and 16,417.99

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Solution

The fourth proportional to 32,201.64, 48,331.93 and 16,417.99 is: 24,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.64 : 48,331.93 = 16,417.99 : x
  2. Step 2: Convert to fraction form
    32,201.64/48,331.93 = 16,417.99/x
  3. Step 3: Cross multiply
    32,201.64x = 48,331.93 × 16,417.99
  4. Step 4: Simplify right side
    32,201.64x = 793,512,981.55
  5. Step 5: Solve for x
    x = 793,512,981.55/32,201.64
  6. Step 6: Final answer
    x = 24,642.01

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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.