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Finding the Fourth Proportional to 32,921, 45,430.98 and 18,017

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Solution

The fourth proportional to 32,921, 45,430.98 and 18,017 is: 24,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921 : 45,430.98 = 18,017 : x
  2. Step 2: Convert to fraction form
    32,921/45,430.98 = 18,017/x
  3. Step 3: Cross multiply
    32,921x = 45,430.98 × 18,017
  4. Step 4: Simplify right side
    32,921x = 818,529,966.66
  5. Step 5: Solve for x
    x = 818,529,966.66/32,921
  6. Step 6: Final answer
    x = 24,863.46

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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.