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Finding the Fourth Proportional to 32,112.30, 48,409.14 and 29,971.50

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Solution

The fourth proportional to 32,112.30, 48,409.14 and 29,971.50 is: 45,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112.30 : 48,409.14 = 29,971.50 : x
  2. Step 2: Convert to fraction form
    32,112.30/48,409.14 = 29,971.50/x
  3. Step 3: Cross multiply
    32,112.30x = 48,409.14 × 29,971.50
  4. Step 4: Simplify right side
    32,112.30x = 1,450,894,539.51
  5. Step 5: Solve for x
    x = 1,450,894,539.51/32,112.30
  6. Step 6: Final answer
    x = 45,181.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.