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Finding the Fourth Proportional to 102,293.70, 153,464.69 and 32,173.01

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Solution

The fourth proportional to 102,293.70, 153,464.69 and 32,173.01 is: 48,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,293.70 : 153,464.69 = 32,173.01 : x
  2. Step 2: Convert to fraction form
    102,293.70/153,464.69 = 32,173.01/x
  3. Step 3: Cross multiply
    102,293.70x = 153,464.69 × 32,173.01
  4. Step 4: Simplify right side
    102,293.70x = 4,937,420,894.62
  5. Step 5: Solve for x
    x = 4,937,420,894.62/102,293.70
  6. Step 6: Final answer
    x = 48,267.11

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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.