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Finding the Fourth Proportional to 107,886.92, 161,830.16 and 29,001.16

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Solution

The fourth proportional to 107,886.92, 161,830.16 and 29,001.16 is: 43,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,886.92 : 161,830.16 = 29,001.16 : x
  2. Step 2: Convert to fraction form
    107,886.92/161,830.16 = 29,001.16/x
  3. Step 3: Cross multiply
    107,886.92x = 161,830.16 × 29,001.16
  4. Step 4: Simplify right side
    107,886.92x = 4,693,261,408.83
  5. Step 5: Solve for x
    x = 4,693,261,408.83/107,886.92
  6. Step 6: Final answer
    x = 43,501.67

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Why These Related Problems?

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