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Finding the Fourth Proportional to 32,964, 45,490.08 and 17,856.30

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Solution

The fourth proportional to 32,964, 45,490.08 and 17,856.30 is: 24,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964 : 45,490.08 = 17,856.30 : x
  2. Step 2: Convert to fraction form
    32,964/45,490.08 = 17,856.30/x
  3. Step 3: Cross multiply
    32,964x = 45,490.08 × 17,856.30
  4. Step 4: Simplify right side
    32,964x = 812,284,515.50
  5. Step 5: Solve for x
    x = 812,284,515.50/32,964
  6. Step 6: Final answer
    x = 24,641.56

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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.