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Finding the Fourth Proportional to 110,520, 165,775.68 and 31,631.04

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Solution

The fourth proportional to 110,520, 165,775.68 and 31,631.04 is: 47,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,520 : 165,775.68 = 31,631.04 : x
  2. Step 2: Convert to fraction form
    110,520/165,775.68 = 31,631.04/x
  3. Step 3: Cross multiply
    110,520x = 165,775.68 × 31,631.04
  4. Step 4: Simplify right side
    110,520x = 5,243,657,165.11
  5. Step 5: Solve for x
    x = 5,243,657,165.11/110,520
  6. Step 6: Final answer
    x = 47,445.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.