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Finding the Fourth Proportional to 32,389.49, 44,698.30 and 17,854.16

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Solution

The fourth proportional to 32,389.49, 44,698.30 and 17,854.16 is: 24,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389.49 : 44,698.30 = 17,854.16 : x
  2. Step 2: Convert to fraction form
    32,389.49/44,698.30 = 17,854.16/x
  3. Step 3: Cross multiply
    32,389.49x = 44,698.30 × 17,854.16
  4. Step 4: Simplify right side
    32,389.49x = 798,050,331.80
  5. Step 5: Solve for x
    x = 798,050,331.80/32,389.49
  6. Step 6: Final answer
    x = 24,639.17

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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.