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Finding the Fourth Proportional to 32,968.93, 45,497.06 and 17,862

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Solution

The fourth proportional to 32,968.93, 45,497.06 and 17,862 is: 24,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968.93 : 45,497.06 = 17,862 : x
  2. Step 2: Convert to fraction form
    32,968.93/45,497.06 = 17,862/x
  3. Step 3: Cross multiply
    32,968.93x = 45,497.06 × 17,862
  4. Step 4: Simplify right side
    32,968.93x = 812,668,513.63
  5. Step 5: Solve for x
    x = 812,668,513.63/32,968.93
  6. Step 6: Final answer
    x = 24,649.53

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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.