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Finding the Fourth Proportional to 32,419.18, 48,628.77 and 16,804

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Solution

The fourth proportional to 32,419.18, 48,628.77 and 16,804 is: 25,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.18 : 48,628.77 = 16,804 : x
  2. Step 2: Convert to fraction form
    32,419.18/48,628.77 = 16,804/x
  3. Step 3: Cross multiply
    32,419.18x = 48,628.77 × 16,804
  4. Step 4: Simplify right side
    32,419.18x = 817,157,851.08
  5. Step 5: Solve for x
    x = 817,157,851.08/32,419.18
  6. Step 6: Final answer
    x = 25,206.00

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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.