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Finding the Fourth Proportional to 30,585.69, 42,205.77 and 17,155.08

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Solution

The fourth proportional to 30,585.69, 42,205.77 and 17,155.08 is: 23,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.69 : 42,205.77 = 17,155.08 : x
  2. Step 2: Convert to fraction form
    30,585.69/42,205.77 = 17,155.08/x
  3. Step 3: Cross multiply
    30,585.69x = 42,205.77 × 17,155.08
  4. Step 4: Simplify right side
    30,585.69x = 724,043,360.81
  5. Step 5: Solve for x
    x = 724,043,360.81/30,585.69
  6. Step 6: Final answer
    x = 23,672.62

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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.