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Finding the Fourth Proportional to 31,482.28, 43,445.50 and 17,335

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Solution

The fourth proportional to 31,482.28, 43,445.50 and 17,335 is: 23,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.28 : 43,445.50 = 17,335 : x
  2. Step 2: Convert to fraction form
    31,482.28/43,445.50 = 17,335/x
  3. Step 3: Cross multiply
    31,482.28x = 43,445.50 × 17,335
  4. Step 4: Simplify right side
    31,482.28x = 753,127,742.50
  5. Step 5: Solve for x
    x = 753,127,742.50/31,482.28
  6. Step 6: Final answer
    x = 23,922.27

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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.