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Finding the Fourth Proportional to 32,653.16, 45,061.22 and 17,749.48

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Solution

The fourth proportional to 32,653.16, 45,061.22 and 17,749.48 is: 24,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.16 : 45,061.22 = 17,749.48 : x
  2. Step 2: Convert to fraction form
    32,653.16/45,061.22 = 17,749.48/x
  3. Step 3: Cross multiply
    32,653.16x = 45,061.22 × 17,749.48
  4. Step 4: Simplify right side
    32,653.16x = 799,813,223.17
  5. Step 5: Solve for x
    x = 799,813,223.17/32,653.16
  6. Step 6: Final answer
    x = 24,494.21

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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.