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Finding the Fourth Proportional to 32,746.16, 45,189.70 and 17,842.16

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Solution

The fourth proportional to 32,746.16, 45,189.70 and 17,842.16 is: 24,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.16 : 45,189.70 = 17,842.16 : x
  2. Step 2: Convert to fraction form
    32,746.16/45,189.70 = 17,842.16/x
  3. Step 3: Cross multiply
    32,746.16x = 45,189.70 × 17,842.16
  4. Step 4: Simplify right side
    32,746.16x = 806,281,542.59
  5. Step 5: Solve for x
    x = 806,281,542.59/32,746.16
  6. Step 6: Final answer
    x = 24,622.17

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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.