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Finding the Fourth Proportional to 107,394.49, 161,096.01 and 28,509.40

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Solution

The fourth proportional to 107,394.49, 161,096.01 and 28,509.40 is: 42,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,394.49 : 161,096.01 = 28,509.40 : x
  2. Step 2: Convert to fraction form
    107,394.49/161,096.01 = 28,509.40/x
  3. Step 3: Cross multiply
    107,394.49x = 161,096.01 × 28,509.40
  4. Step 4: Simplify right side
    107,394.49x = 4,592,750,587.49
  5. Step 5: Solve for x
    x = 4,592,750,587.49/107,394.49
  6. Step 6: Final answer
    x = 42,765.23

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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.